J. M. Bardeen, Gauge-invariant cosmological perturbations, Physical Review D, vol.22, issue.8, p.1882, 1980.
DOI : 10.1103/PhysRevD.22.1882

V. F. Mukhanov, F. A. Feldman, and R. H. Brandenberger, Theory of cosmological perturbations, Physics Reports, vol.215, issue.5-6, p.203, 1992.
DOI : 10.1016/0370-1573(92)90044-Z

R. B. Abbott, B. Bednarz, and S. D. Ellis, Cosmological perturbations in Kaluza-Klein models, Physical Review D, vol.33, issue.8, p.2147, 1986.
DOI : 10.1103/PhysRevD.33.2147

D. Langlois and F. Vernizzi, Conserved nonlinear quantities in cosmology, Physical Review D, vol.72, issue.10, p.103501, 2005.
DOI : 10.1103/PhysRevD.72.103501
URL : https://hal.archives-ouvertes.fr/in2p3-00025104

D. Langlois and F. Vernizzi, Evolution of Nonlinear Cosmological Perturbations, Physical Review Letters, vol.95, issue.9, p.91303, 2005.
DOI : 10.1103/PhysRevLett.95.091303
URL : https://hal.archives-ouvertes.fr/in2p3-00025106

M. Bruni, P. Dunsby, and G. F. Ellis, Cosmological perturbations and the physical meaning of gauge-invariant variables, The Astrophysical Journal, vol.395, p.34, 1992.
DOI : 10.1086/171629

M. Bruni, G. F. Ellis, and P. Dunsby, Gauge-invariant perturbations in a scalar field dominated universe, Classical and Quantum Gravity, vol.9, issue.4, p.921, 1992.
DOI : 10.1088/0264-9381/9/4/010

C. Clarkson, Cosmological density fluctuations and gravity waves: A covariant approach to gauge-invariant nonlinear perturbation theory, Physical Review D, vol.70, issue.10, p.103524, 2004.
DOI : 10.1103/PhysRevD.70.103524

J. Maldacena and J. , High Energy Phys, pp.5-013, 2003.

G. F. Ellis, M. Bruni, and J. Hwang, Density-gradient-vorticity relation in perfect-fluid Robertson-Walker perturbations, Physical Review D, vol.42, issue.4, p.1035, 1990.
DOI : 10.1103/PhysRevD.42.1035

?. ???-?-??t?-?-?-st?-?-??r?-?????è-?-?-?-?rt??, ?. , ?. , ?. @bullet??-?-?-r, ?. ??-?-?t? et al., s ??èr? ?? r????t???? ???? ?? s?????s??? ??s s??s ????tr? s??? s? ???? ???tr? q?? ??s ???? ?s???ts ??rr?s??????t à ??s é??????s ???? ??st???t?s? ???s ????s ?? ???s ?? ?????tr? ? q?? ??s ?ré???t???s ?? ??????t??? à ???r?r? ???é??r? s??t r???t??????t ?é?ér?q??s? ??s ???ér??ts, ?st ???ss??? R(x) s? ??s ???????s st????st?q??s ??s ??rré??t???s ?? ?? ????? ?? ?? ??s????? ?? ????ts x 1 . . . x n s?t?s???t References, p.203, 1992.

T. Gebbie and E. , 1+3 Covariant Cosmic Microwave Background Anisotropies I: Algebraic Relations for Mode and Multipole Expansions, Annals of Physics, vol.282, issue.2, p.285, 2000.
DOI : 10.1006/aphy.2000.6033

R. Maartens, T. Gebbie, and E. , Cosmic microwave background anisotropies: Nonlinear dynamics, Physical Review D, vol.59, issue.8, p.83506, 1999.
DOI : 10.1103/PhysRevD.59.083506

T. Gebbie, P. Dunsby, and E. , 1+3 Covariant Cosmic Microwave Background Anisotropies II: The Almost-Friedmann???Lema????tre Model, Annals of Physics, vol.282, issue.2, p.321, 2000.
DOI : 10.1006/aphy.2000.6034

M. Bruni, G. Ellis, and P. Dunsby, Gauge-invariant perturbations in a scalar field dominated universe, Classical and Quantum Gravity, vol.9, issue.4, p.921, 1992.
DOI : 10.1088/0264-9381/9/4/010

K. A. Malik and D. Wands, Evolution of second-order cosmological perturbations, Classical and Quantum Gravity, vol.21, issue.11, pp.65-72, 2004.
DOI : 10.1088/0264-9381/21/11/L01

G. I. Rigopoulos and E. Shellard, Separate universe approach and the evolution of nonlinear superhorizon cosmological perturbations, Physical Review D, vol.68, issue.12, p.123518, 2003.
DOI : 10.1103/PhysRevD.68.123518

F. Bernardeau, L. Kofman, and J. Uzan, Modulated fluctuations from hybrid inflation, Physical Review D, vol.70, issue.8, p.83004, 2004.
DOI : 10.1103/PhysRevD.70.083004

D. Langlois and F. Vernizzi, Conserved nonlinear quantities in cosmology, Physical Review D, vol.72, issue.10, p.103501, 2005.
DOI : 10.1103/PhysRevD.72.103501
URL : https://hal.archives-ouvertes.fr/in2p3-00025104

C. Pitrou and J. Uzan, covariant formalism, Physical Review D, vol.75, issue.8, p.87302, 2007.
DOI : 10.1103/PhysRevD.75.087302

D. Spergel, ) Observations: Implications for Cosmology, The Astrophysical Journal Supplement Series, vol.170, issue.2, p.377, 2007.
DOI : 10.1086/513700

N. Bartolo, S. Matarrese, and A. Riotto, Non-Gaussianity from inflation, Physical Review D, vol.65, issue.10, p.103505, 2002.
DOI : 10.1103/PhysRevD.65.103505
URL : http://arxiv.org/abs/hep-ph/0112261

F. Bernardeau, J. Uzan, F. Bernardeau, and J. Uzan, Inflationary models inducing non-Gaussian metric fluctuations, Physical Review D, vol.67, issue.12, pp.121301-103506, 2002.
DOI : 10.1103/PhysRevD.67.121301
URL : https://hal.archives-ouvertes.fr/hal-00009331

N. Bartolo, Non-Gaussianity from inflation: theory and observations, Physics Reports, vol.402, issue.3-4, pp.103-266, 2004.
DOI : 10.1016/j.physrep.2004.08.022
URL : http://arxiv.org/abs/astro-ph/0406398

. Gebbiet and G. Dunsbypksandellis, 1+3 Covariant Cosmic Microwave Background Anisotropies II: The Almost-Friedmann???Lema????tre Model, Annals of Physics, vol.282, issue.2, pp.321-94, 2000.
DOI : 10.1006/aphy.2000.6034

R. Maartens, T. Gebbie, and E. , Cosmic microwave background anisotropies: Nonlinear dynamics, Physical Review D, vol.59, issue.8, p.83506, 1999.
DOI : 10.1103/PhysRevD.59.083506
URL : http://arxiv.org/abs/astro-ph/9808163

K. Enqvist, Covariant generalization of cosmological perturbation theory, Physical Review D, vol.75, issue.2, p.23515, 2007.
DOI : 10.1103/PhysRevD.75.023515

K. Nakamura, Second-Order Gauge Invariant Cosmological Perturbation Theory: -- Einstein Equations in Terms of Gauge Invariant Variables --, Progress of Theoretical Physics, vol.117, issue.1, pp.17-74, 2007.
DOI : 10.1143/PTP.117.17

M. Bruni, Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond, Classical and Quantum Gravity, vol.14, issue.9, pp.2585-606, 1997.
DOI : 10.1088/0264-9381/14/9/014

M. Hillery, O. Connell, R. F. Scully, and E. Wigner, Distribution functions in physics: Fundamentals, Physics Reports, vol.106, issue.3, p.121, 1984.
DOI : 10.1016/0370-1573(84)90160-1

R. Durrer and Z. Zhou, Large-scale structure formation with global topological defects, Physical Review D, vol.53, issue.10, pp.5394-410, 1996.
DOI : 10.1103/PhysRevD.53.5394

N. Deruelle, J. Katz, and J. Uzan, Integral constraints on cosmological perturbations and their energy, Classical and Quantum Gravity, vol.14, issue.2, pp.421-455, 1997.
DOI : 10.1088/0264-9381/14/2/015
URL : http://arxiv.org/abs/gr-qc/9608046

K. Thorne, Multipole expansions of gravitational radiation, Reviews of Modern Physics, vol.52, issue.2, p.299, 1980.
DOI : 10.1103/RevModPhys.52.299

W. Hu and S. , Toward understanding CMB anisotropies and their implications, Physical Review D, vol.51, issue.6, pp.2599-630, 1995.
DOI : 10.1103/PhysRevD.51.2599
URL : http://arxiv.org/abs/astro-ph/9411008

W. Hu and M. White, CMB anisotropies: Total angular momentum method, Physical Review D, vol.56, issue.2, pp.596-615, 1997.
DOI : 10.1103/PhysRevD.56.596
URL : http://arxiv.org/abs/astro-ph/9702170

S. Matarrese, S. Mollerach, and M. Bruni, Relativistic second-order perturbations of the Einstein???de Sitter universe, Physical Review D, vol.58, issue.4, p.43504, 1998.
DOI : 10.1103/PhysRevD.58.043504

J. Uzan, Dynamics of relativistic interacting gases: from a kinetic to a fluid description, Classical and Quantum Gravity, vol.15, issue.4, pp.1063-88, 1998.
DOI : 10.1088/0264-9381/15/4/025

M. Kamionkowski, A. Kosowsky, and A. Stebbins, A Probe of Primordial Gravity Waves and Vorticity, Physical Review Letters, vol.78, issue.11, p.2058, 1997.
DOI : 10.1103/PhysRevLett.78.2058

U. Seljak, M. Zaldarriaga, M. Kesden, A. Cooray, and M. Kamionkowski, A Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies, The Astrophysical Journal, vol.469, issue.89, pp.437-011304, 1996.
DOI : 10.1086/177793

L. Knox, Y. Song, U. Seljak, and C. Hirata, Limit on the Detectability of the Energy Scale of Inflation, SPIRES] [7] Mukhanov V F and Chibisov G V, pp.11303-532, 1981.
DOI : 10.1103/PhysRevLett.89.011303

A. Starobinsky, A. Guth, and S. Pi, Dynamics of phase transition in the new inflationary universe scenario and generation of perturbations, Physics Letters B, vol.117, issue.3-4, pp.175-110, 1981.
DOI : 10.1016/0370-2693(82)90541-X

J. M. Bardeen, P. J. Steinhardt, and M. Turner, Spontaneous creation of almost scale-free density perturbations in an inflationary universe, Physical Review D, vol.28, issue.4, p.679, 1983.
DOI : 10.1103/PhysRevD.28.679

F. Bernardeau and J. Uzan, Non-Gaussianity in multifield inflation, Physical Review D, vol.66, issue.10, p.103506, 2002.
DOI : 10.1103/PhysRevD.66.103506

D. S. Salopek and R. Bond, Nonlinear evolution of long-wavelength metric fluctuations in inflationary models, Linde A and Mukhanov V F, pp.3936-535, 1990.
DOI : 10.1103/PhysRevD.42.3936

F. Bernardeau and J. Uzan, Inflationary models inducing non-Gaussian metric fluctuations, Physical Review D, vol.67, issue.12, p.121301, 2003.
DOI : 10.1103/PhysRevD.67.121301
URL : https://hal.archives-ouvertes.fr/hal-00009331

N. Afshordi and R. Brandenberger, Super-Hubble nonlinear perturbations during inflation, Physical Review D, vol.63, issue.12, p.123505, 2001.
DOI : 10.1103/PhysRevD.63.123505

G. I. Rigoupoulos, E. Shellard, and B. J. Van-tent, Large non-Gaussianity in multiple-field inflation, Physical Review D, vol.73, issue.8, p.83522, 2006.
DOI : 10.1103/PhysRevD.73.083522

T. J. Allen, B. Grinstein, and M. Wise, Non-gaussian density perturbations in inflationary cosmologies, Physics Letters B, vol.197, issue.1-2, p.66, 1987.
DOI : 10.1016/0370-2693(87)90343-1

P. Peebles, An Isocurvature Model for Early Galaxy Assembly, The Astrophysical Journal, vol.483, issue.1, p.1, 1997.
DOI : 10.1086/310738

M. Bucher and Y. Zhu, Non-Gaussian isocurvature perturbations from Goldstone modes generated during inflation, Physical Review D, vol.55, issue.12, p.7415, 1997.
DOI : 10.1103/PhysRevD.55.7415
URL : http://arxiv.org/abs/astro-ph/9610223

E. Komatsu, ) Observations: Tests of Gaussianity, The Astrophysical Journal Supplement Series, vol.148, issue.1, p.119, 2003.
DOI : 10.1086/377220

N. Kogo and E. Komatsu, Angular trispectrum of CMB temperature anisotropy from primordial non-Gaussianity with the full radiation transfer function, Physical Review D, vol.73, issue.8, p.83007, 2006.
DOI : 10.1103/PhysRevD.73.083007

M. Liguori, Testing primordial non-Gaussianity in CMB anisotropies, Physical Review D, vol.73, issue.4, p.43505, 2006.
DOI : 10.1103/PhysRevD.73.043505

N. Bartolo, Non-Gaussianity from inflation: theory and observations, Physics Reports, vol.402, issue.3-4, p.103, 2004.
DOI : 10.1016/j.physrep.2004.08.022
URL : http://arxiv.org/abs/astro-ph/0406398

S. Mollerach, D. Harari, and S. Matarrese, CMB polarization from secondary vector and tensor modes, Physical Review D, vol.69, issue.6, p.63002, 2004.
DOI : 10.1103/PhysRevD.69.063002

S. Prunet, Constraints on mode couplings and modulation of the CMB with WMAP data, Physical Review D, vol.71, issue.8, p.83508, 2005.
DOI : 10.1103/PhysRevD.71.083508

K. Tomita, Non-Linear Theory of Gravitational Instability in the Expanding Universe, Progress of Theoretical Physics, vol.37, issue.5, p.831, 1967.
DOI : 10.1143/PTP.37.831

F. Mena, R. Tavakol, and M. Bruni, SECOND ORDER PERTURBATIONS OF FLAT DUST FLRW UNIVERSES WITH A COSMOLOGICAL CONSTANT, International Journal of Modern Physics A, vol.17, issue.29, p.4239, 2002.
DOI : 10.1142/S0217751X02013277

S. Matarrese, S. Mollerach, and M. Bruni, Relativistic second-order perturbations of the Einstein???de Sitter universe, Physical Review D, vol.58, issue.4, p.43504, 1998.
DOI : 10.1103/PhysRevD.58.043504

F. Finelli, Second-order gauge-invariant perturbations during inflation, Physical Review D, vol.74, issue.8, pp.83522-104011, 2004.
DOI : 10.1103/PhysRevD.74.083522
URL : http://arxiv.org/abs/gr-qc/0604081

C. Clarkson, Cosmological density fluctuations and gravity waves: A covariant approach to gauge-invariant nonlinear perturbation theory, Physical Review D, vol.70, issue.10, p.103524, 2004.
DOI : 10.1103/PhysRevD.70.103524

D. Langlois, F. Vernizzi, D. Langlois, and F. Vernizzi, Conserved nonlinear quantities in cosmology, Physical Review D, vol.72, issue.10, pp.103501-091303, 2005.
DOI : 10.1103/PhysRevD.72.103501
URL : https://hal.archives-ouvertes.fr/in2p3-00025104

F. Vernizzi, Conservation of second-order cosmological perturbations in a scalar field dominated universe, Physical Review D, vol.71, issue.6, p.61301, 2005.
DOI : 10.1103/PhysRevD.71.061301

V. F. Mukhanov, L. Abramo, and R. Brandenberger, Backreaction Problem for Cosmological Perturbations, Physical Review Letters, vol.78, issue.9, p.1624, 1997.
DOI : 10.1103/PhysRevLett.78.1624

K. Nakamura, Gauge-invariant formulation of second-order cosmological perturbations, Physical Review D, vol.74, issue.10, p.101301, 2006.
DOI : 10.1103/PhysRevD.74.101301

V. Acquaviva, Gauge-invariant second-order perturbations and non-Gaussianity from inflation, Nuclear Physics B, vol.667, issue.1-2, p.119, 2003.
DOI : 10.1016/S0550-3213(03)00550-9

G. Ellis and M. Bruni, Covariant and gauge-invariant approach to cosmological density fluctuations, Physical Review D, vol.40, issue.6, p.1804, 1989.
DOI : 10.1103/PhysRevD.40.1804

M. Bruni, P. Dunsby, and E. , Cosmological perturbations and the physical meaning of gauge-invariant variables, The Astrophysical Journal, vol.395, p.34, 1992.
DOI : 10.1086/171629

J. Bardeen, Gauge-invariant cosmological perturbations, Physical Review D, vol.22, issue.8, p.1882, 1980.
DOI : 10.1103/PhysRevD.22.1882

M. Bruni, P. Dunsby, and E. , Cosmological perturbations and the physical meaning of gauge-invariant variables, The Astrophysical Journal, vol.395, p.34, 1992.
DOI : 10.1086/171629

M. Madsen, Scalar fields in curved spacetimes, Classical and Quantum Gravity, vol.5, issue.4, p.627, 1988.
DOI : 10.1088/0264-9381/5/4/010

P. Dunsby, M. Bruni, and E. , Covariant perturbations in a multifluid cosmological medium, The Astrophysical Journal, vol.395, p.54, 1992.
DOI : 10.1086/171630

M. Bruni, G. Ellis, and P. Dunsby, Gauge-invariant perturbations in a scalar field dominated universe, Classical and Quantum Gravity, vol.9, issue.4, p.921, 1992.
DOI : 10.1088/0264-9381/9/4/010

M. Bruni, G. Ellis, and P. Dunsby, Gauge-invariant perturbations in a scalar field dominated universe, Classical and Quantum Gravity, vol.9, issue.4, p.921, 1992.
DOI : 10.1088/0264-9381/9/4/010

P. Dunsby, B. A. Bassett, G. Ellis, R. Maartens, G. Ellis et al., Covariant analysis of gravitational waves in a cosmological context, Classical and Quantum Gravity, vol.14, issue.5, pp.1215-1927, 1997.
DOI : 10.1088/0264-9381/14/5/023

R. Maartens and B. Bassett, Gravito-electromagnetism, Classical and Quantum Gravity, vol.15, issue.3, pp.705-871, 1998.
DOI : 10.1088/0264-9381/15/3/018

M. Bruni, Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond, Classical and Quantum Gravity, vol.14, issue.9, p.2585, 1997.
DOI : 10.1088/0264-9381/14/9/014

M. Bruni and S. Sonego, Observables and gauge invariance in the theory of nonlinear spacetime perturbations, Classical and Quantum Gravity, vol.16, issue.7, p.29, 1999.
DOI : 10.1088/0264-9381/16/7/101

C. Carbone, C. Baccigalupi, and S. Matarrese, Stochastic gravitational wave background from cold dark matter halos, Physical Review D, vol.73, issue.6, p.63503, 2006.
DOI : 10.1103/PhysRevD.73.063503

F. Bernardeau and J. Uzan, Finite volume effects for non-Gaussian multifield inflationary models, Physical Review D, vol.70, issue.4, p.43533, 2004.
DOI : 10.1103/PhysRevD.70.043533
URL : https://hal.archives-ouvertes.fr/hal-00009332

S. Weinberg, Quantum contributions to cosmological correlations, Physical Review D, vol.72, issue.4, p.43514, 2005.
DOI : 10.1103/PhysRevD.72.043514

P. Creminelli and M. Zaldarriaga, CMB 3-point functions generated by nonlinearities at recombination, Physical Review D, vol.70, issue.8, p.83532, 2004.
DOI : 10.1103/PhysRevD.70.083532

.. Mode-decomposition, 7 2.1.1. Definition of the Fourier transform Decomposition of the vector and tensor modes

I. Defining-gauge, 1 1 2.2.1. Gauge invariant variables for the geometry, 1 1 2.2.2. Gauge invariant variables for the matter. ............... 1 2

.. Bianchi, I universes in the 1 + 3 formalism, p.7

S. W. Hawking, The development of irregularities in a single bubble inflationary universe, Physics Letters B, vol.115, issue.4, pp.295-09006, 1982.
DOI : 10.1016/0370-2693(82)90373-2

V. F. Mukhanov, F. A. Feldman, and R. Brandenberger, Theory of cosmological perturbations, Physics Reports, vol.215, issue.5-6, p.203, 1992.
DOI : 10.1016/0370-1573(92)90044-Z

D. Spergel, ) Observations: Implications for Cosmology, The Astrophysical Journal Supplement Series, vol.170, issue.2, p.377, 2007.
DOI : 10.1086/513700

A. Linde, Generation of isothermal density perturbations in the inflationary universe, Physics Letters B, vol.158, issue.5, pp.375-5437, 1985.
DOI : 10.1016/0370-2693(85)90436-8

V. F. Mukhanov and P. J. Steinhardt, Density perturbations in multifield inflationary models, Physics Letters B, vol.422, issue.1-4, pp.52-123512, 1998.
DOI : 10.1016/S0370-2693(98)00032-X

A. Linde and V. Mukhanov, Non-Gaussian isocurvature perturbations from inflation, Physical Review D, vol.56, issue.2, p.535, 1997.
DOI : 10.1103/PhysRevD.56.R535
URL : http://arxiv.org/abs/astro-ph/9610219

F. Bernardeau and J. Uzan, Non-Gaussianity in multifield inflation, Physical Review D, vol.66, issue.10, p.103506, 2002.
DOI : 10.1103/PhysRevD.66.103506

F. Bernardeau and J. Uzan, Inflationary models inducing non-Gaussian metric fluctuations, Physical Review D, vol.67, issue.12, p.121301, 2003.
DOI : 10.1103/PhysRevD.67.121301
URL : https://hal.archives-ouvertes.fr/hal-00009331

F. Bernardeau, L. Kofman, and J. Uzan, Modulated fluctuations from hybrid inflation, Physical Review D, vol.70, issue.8, p.83004, 2004.
DOI : 10.1103/PhysRevD.70.083004
URL : http://arxiv.org/abs/astro-ph/0403315

V. F. Mukhanov and . Lett, 41 493 (translation) Sasaki M, Prog. Theor. Phys, vol.76, p.1036, 1986.

J. Uzan, U. Kirchner, and E. , Wilkinson Microwave Anisotropy Probe data and the curvature of space, Monthly Notices of the Royal Astronomical Society, vol.344, issue.4, p.65, 2003.
DOI : 10.1046/j.1365-8711.2003.07043.x

D. S. Goldwirth and T. Piran, SPIRES] Goldwirth D S and Piran T, 1990 P h y s .R e v .L e t t, Phys. Rev. D, vol.4064, pp.3263-2852, 1989.

O. Iguchi and H. Ishihara, Onset of inflation in inhomogeneous cosmology, Physical Review D, vol.56, issue.6, p.3216, 1997.
DOI : 10.1103/PhysRevD.56.3216

C. Collins and S. W. Hawking, Why is the Universe Isotropic?, The Astrophysical Journal, vol.180, p.317, 1973.
DOI : 10.1086/151965

R. Wald, Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant, Physical Review D, vol.28, issue.8, p.2118, 1983.
DOI : 10.1103/PhysRevD.28.2118

A. Burd and J. Barrow, Inflationary models with exponential potentials, Nuclear Physics B, vol.308, issue.4, p.929, 1988.
DOI : 10.1016/0550-3213(88)90135-6
URL : http://doi.org/10.1016/0550-3213(88)90135-6

S. Byland and D. Scialom, Evolution of the Bianchi type I, Bianchi type III, and the Kantowski-Sachs universe: Isotropization and inflation, Physical Review D, vol.57, issue.10, p.6065, 1998.
DOI : 10.1103/PhysRevD.57.6065

R. Maartens, V. Sahni, and T. Saini, Anisotropy dissipation in brane-world inflation, Physical Review D, vol.63, issue.6, p.63509, 2001.
DOI : 10.1103/PhysRevD.63.063509

M. G. Santos, F. Vernizzi, and P. Ferreira, Isotropy and stability of the brane, Physical Review D, vol.64, issue.6, p.63506, 2001.
DOI : 10.1103/PhysRevD.64.063506

B. Paul, Inflationary cosmologies in an anisotropic brane world, Physical Review D, vol.64, issue.12, p.124001, 2001.
DOI : 10.1103/PhysRevD.64.124001

J. Aguirregabiria, L. P. Chimento, and R. Lazkoz, Anisotropy and inflation in Bianchi I braneworlds, Classical and Quantum Gravity, vol.21, issue.4, p.823, 2004.
DOI : 10.1088/0264-9381/21/4/005

J. Garriga, Canonical quantization of cosmological perturbations in the one-bubble open universe, Nuclear Physics B, vol.513, issue.1-2, p.343, 1998.
DOI : 10.1016/S0550-3213(97)00780-3

A. Oliveira-costa, Significance of the largest scale CMB fluctuations in WMAP, Physical Review D, vol.69, issue.6, p.63516, 2004.
DOI : 10.1103/PhysRevD.69.063516

H. Eriksen, Asymmetries in the Cosmic Microwave Background Anisotropy Field, The Astrophysical Journal, vol.605, issue.1, p.14, 2004.
DOI : 10.1086/382267

K. Land and J. Magueijo, 2005 P h y s .R e v .L e t t, p.71301

S. Prunet, Constraints on mode couplings and modulation of the CMB with WMAP data, Physical Review D, vol.71, issue.8, p.83508, 2005.
DOI : 10.1103/PhysRevD.71.083508

J. Uzan, Cosmic microwave background constraints on lens spaces, Physical Review D, vol.69, issue.4, p.43003, 2004.
DOI : 10.1103/PhysRevD.69.043003

R. Lehoucq, Eigenmodes of three-dimensional spherical spaces and their application to cosmology, Classical and Quantum Gravity, vol.19, issue.18, p.4683, 2002.
DOI : 10.1088/0264-9381/19/18/305

J. Barrow and H. Kodama, The isotropy of compact universes, Classical and Quantum Gravity, vol.18, issue.9, p.1753, 2001.
DOI : 10.1088/0264-9381/18/9/310

L. Ackerman, S. M. Caroll, and M. Wise, Imprints of a primordial preferred direction on the microwave background, Physical Review D, vol.75, issue.8, p.83502, 2007.
DOI : 10.1103/PhysRevD.75.083502

T. Jaffe, Data: A Violation of Cosmological Isotropy?, The Astrophysical Journal, vol.629, issue.1, p.1, 2005.
DOI : 10.1086/444454

R. Marteens, G. Ellis, and W. Stoeger, Limits on anisotropy and inhomogeneity from the cosmic background radiation, Physical Review D, vol.51, issue.4, p.1525, 1995.
DOI : 10.1103/PhysRevD.51.1525

A. Kogut, G. Hinshaw, and A. J. Banday, Limits to global rotation and shear from the COBE DMR four-year sky maps, Physical Review D, vol.55, issue.4, p.1901, 1997.
DOI : 10.1103/PhysRevD.55.1901

K. Thorne, Primordial Element Formation, Primordial Magnetic Fields, and the Isotropy of the Universe, The Astrophysical Journal, vol.148, p.51, 1967.
DOI : 10.1086/149127

K. Tomita and M. Den, Gauge-invariant perturbations in anisotropic homogeneous cosmological models, Physical Review D, vol.34, issue.12, p.3570, 1986.
DOI : 10.1103/PhysRevD.34.3570

H. Noh and J. Hwang, Perturbations of an anisotropic spacetime: Formulation, Physical Review D, vol.52, issue.4, p.1970, 1995.
DOI : 10.1103/PhysRevD.52.1970

R. B. Abbott, B. Bednarz, and D. Ellis, Cosmological perturbations in Kaluza-Klein models, Physical Review D, vol.33, issue.8, p.2147, 1986.
DOI : 10.1103/PhysRevD.33.2147

P. Dunsby, Covariant perturbations of anisotropic cosmological models, Physical Review D, vol.48, issue.8, p.3562, 1993.
DOI : 10.1103/PhysRevD.48.3562

C. Pitrou and J. Uzan, covariant formalism, Physical Review D, vol.75, issue.8, p.87302, 2007.
DOI : 10.1103/PhysRevD.75.087302

J. Bardeen, U. Gerlach, U. Sengupta, H. Van-elst, and E. , Gauge-invariant cosmological perturbations, Physical Review D, vol.22, issue.8, pp.1882-1789, 1978.
DOI : 10.1103/PhysRevD.22.1882

G. Ellis and M. Maccallum, A class of homogeneous cosmological models, Communications in Mathematical Physics, vol.8, issue.2, p.108, 1969.
DOI : 10.1007/BF01645908

D. Salopek, Hamilton-Jacobi theory for general relativity with matter fields, Classical and Quantum Gravity, vol.9, issue.8, p.1943, 1992.
DOI : 10.1088/0264-9381/9/8/015

N. Deruelle and D. Langlois, Long wavelength iteration of Einstein???s equations near a spacetime singularity, Physical Review D, vol.52, issue.4, p.2007, 1995.
DOI : 10.1103/PhysRevD.52.2007

R. Arnowitt, S. Deser, and C. W. Misner, Gravitation: An Introduction to Current, pp.227-265, 1962.

S. Friedmann, Particular case of a cosmological constant, p.0

?. Friedmann and .. Lema??trelema??tre-universes, Generic Bianchi I universes, p.5

S. W. Hawking, The development of irregularities in a single bubble inflationary universe, Physics Letters B, vol.115, issue.4, p.295, 1982.
DOI : 10.1016/0370-2693(82)90373-2

V. F. Mukhanov, F. A. Feldman, and R. Brandenberger, Theory of cosmological perturbations, Physics Reports, vol.215, issue.5-6, p.203, 1992.
DOI : 10.1016/0370-1573(92)90044-Z

A. Linde, Generation of isothermal density perturbations in the inflationary universe, Physics Letters B, vol.158, issue.5, pp.375-5437, 1985.
DOI : 10.1016/0370-2693(85)90436-8

V. F. Mukhanov and P. J. Steinhardt, Density perturbations in multifield inflationary models, Physics Letters B, vol.422, issue.1-4, pp.52-123512, 1998.
DOI : 10.1016/S0370-2693(98)00032-X

A. Linde and V. Mukhanov, Non-Gaussian isocurvature perturbations from inflation, Physical Review D, vol.56, issue.2, p.535, 1997.
DOI : 10.1103/PhysRevD.56.R535
URL : http://arxiv.org/abs/astro-ph/9610219

F. Bernardeau and J. Uzan, Non-Gaussianity in multifield inflation, Physical Review D, vol.66, issue.10, p.103506, 2002.
DOI : 10.1103/PhysRevD.66.103506

F. Bernardeau and J. Uzan, Inflationary models inducing non-Gaussian metric fluctuations, Physical Review D, vol.67, issue.12, p.121301, 2003.
DOI : 10.1103/PhysRevD.67.121301
URL : https://hal.archives-ouvertes.fr/hal-00009331

F. Bernardeau, L. Kofman, and J. Uzan, Modulated fluctuations from hybrid inflation, Physical Review D, vol.70, issue.8, p.83004, 2004.
DOI : 10.1103/PhysRevD.70.083004
URL : http://arxiv.org/abs/astro-ph/0403315

K. Olive, Inflation, Physics Reports, vol.190, issue.6, p.307, 1990.
DOI : 10.1016/0370-1573(90)90144-Q

R. Wald, Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant, Physical Review D, vol.28, issue.8, p.2118, 1983.
DOI : 10.1103/PhysRevD.28.2118

G. Steigman and M. Turner, Inflation in a shear- or curvature-dominated universe, Physics Letters B, vol.128, issue.5, p.295, 1983.
DOI : 10.1016/0370-2693(83)90263-0

O. Gron, Expansion isotropization during the inflationary era, Physical Review D, vol.32, issue.10, p.2522, 1985.
DOI : 10.1103/PhysRevD.32.2522

T. Rothman and M. Madsen, Bianchi i inflation: Assumptions and inconsistencies, Physics Letters B, vol.159, issue.4-6, p.256, 1985.
DOI : 10.1016/0370-2693(85)90245-X
URL : http://doi.org/10.1016/0370-2693(85)90245-x

T. Rothman and E. , Can inflation occur in anisotropic cosmologies?, Physics Letters B, vol.180, issue.1-2, p.19, 1986.
DOI : 10.1016/0370-2693(86)90126-7

L. Jensen and J. A. Stein-schabes, Effect of inflation on anisotropic cosmologies, Physical Review D, vol.34, issue.4, p.931, 1986.
DOI : 10.1103/PhysRevD.34.931

L. Jensen and J. A. Stein-schabes, Is inflation natural?, Physical Review D, vol.35, issue.4, p.1146, 1987.
DOI : 10.1103/PhysRevD.35.1146

T. Patcher, Once More on Slow-Rollover Inflation with Anisotropy, Europhysics Letters (EPL), vol.4, issue.10, p.1211, 1987.
DOI : 10.1209/0295-5075/4/10/022

S. Byland and D. Scialom, Evolution of the Bianchi type I, Bianchi type III, and the Kantowski-Sachs universe: Isotropization and inflation, Physical Review D, vol.57, issue.10, p.6065, 1998.
DOI : 10.1103/PhysRevD.57.6065

R. Maartens, V. Sahni, and T. Saini, Anisotropy dissipation in brane-world inflation, Physical Review D, vol.63, issue.6, p.63509, 2001.
DOI : 10.1103/PhysRevD.63.063509

M. G. Santos, F. Vernizzi, and P. Ferreira, Isotropy and stability of the brane, Physical Review D, vol.64, issue.6, p.63506, 2001.
DOI : 10.1103/PhysRevD.64.063506

B. Paul, Inflationary cosmologies in an anisotropic brane world, Physical Review D, vol.64, issue.12, p.124001, 2001.
DOI : 10.1103/PhysRevD.64.124001

J. Aguirregabiria, L. P. Chimento, and R. Lazkoz, Anisotropy and inflation in Bianchi I braneworlds, Classical and Quantum Gravity, vol.21, issue.4, p.823, 2004.
DOI : 10.1088/0264-9381/21/4/005

J. Uzan, U. Kirchner, and E. , Wilkinson Microwave Anisotropy Probe data and the curvature of space, Monthly Notices of the Royal Astronomical Society, vol.344, issue.4, p.65, 2003.
DOI : 10.1046/j.1365-8711.2003.07043.x

V. F. Mukhanov and . Lett, 41 493 (translation) Sasaki M, Prog. Theor. Phys, vol.76, p.1036, 1986.

J. Bond, Roulette inflation with K??hler moduli and their axions, Physical Review D, vol.75, issue.12, p.123511, 2007.
DOI : 10.1103/PhysRevD.75.123511

K. Tomita and M. Den, Gauge-invariant perturbations in anisotropic homogeneous cosmological models, Physical Review D, vol.34, issue.12, p.3570, 1986.
DOI : 10.1103/PhysRevD.34.3570

P. Dunsby, Covariant perturbations of anisotropic cosmological models, Physical Review D, vol.48, issue.8, p.3562, 1993.
DOI : 10.1103/PhysRevD.48.3562

C. Pitrou and J. Uzan, covariant formalism, Physical Review D, vol.75, issue.8, p.87302, 2007.
DOI : 10.1103/PhysRevD.75.087302

H. Noh and J. Hwang, Perturbations of an anisotropic spacetime: Formulation, Physical Review D, vol.52, issue.4, p.1970, 1995.
DOI : 10.1103/PhysRevD.52.1970

R. B. Abbott, B. Bednarz, and D. Ellis, Cosmological perturbations in Kaluza-Klein models, Physical Review D, vol.33, issue.8, p.2147, 1986.
DOI : 10.1103/PhysRevD.33.2147

A. Oliveira-costa, Significance of the largest scale CMB fluctuations in WMAP, Physical Review D, vol.69, issue.6, p.63516, 2004.
DOI : 10.1103/PhysRevD.69.063516

H. Eriksen, Asymmetries in the Cosmic Microwave Background Anisotropy Field, The Astrophysical Journal, vol.605, issue.1, p.14, 2004.
DOI : 10.1086/382267

K. Land and J. Magueijo, 2005 P h y s .R e v .L e t t, p.71301

S. Prunet, Constraints on mode couplings and modulation of the CMB with WMAP data, Physical Review D, vol.71, issue.8, p.83508, 2005.
DOI : 10.1103/PhysRevD.71.083508

J. Uzan, Cosmic microwave background constraints on lens spaces, Physical Review D, vol.69, issue.4, p.43003, 2004.
DOI : 10.1103/PhysRevD.69.043003

R. Lehoucq, Eigenmodes of three-dimensional spherical spaces and their application to cosmology, Classical and Quantum Gravity, vol.19, issue.18, p.4683, 2002.
DOI : 10.1088/0264-9381/19/18/305

J. Barrow and H. Kodama, The isotropy of compact universes, Classical and Quantum Gravity, vol.18, issue.9, p.1753, 2001.
DOI : 10.1088/0264-9381/18/9/310

T. Jaffe, Data: A Violation of Cosmological Isotropy?, The Astrophysical Journal, vol.629, issue.1, p.1, 2005.
DOI : 10.1086/444454

L. Ackerman, S. M. Caroll, M. Wise, A. Pullen, and M. Kamionkowski, Imprints of a primordial preferred direction on the microwave background, Physical Review D, vol.75, issue.8, p.83502, 2007.
DOI : 10.1103/PhysRevD.75.083502

W. R. Stoeger, M. Araujo, T. Gebbie, A. Kogut, G. Hinshaw et al., Data, The Astrophysical Journal, vol.476, issue.2, pp.435-1901, 1997.
DOI : 10.1086/303633

K. Thorne, Primordial Element Formation, Primordial Magnetic Fields, and the Isotropy of the Universe, The Astrophysical Journal, vol.148, p.51, 1967.
DOI : 10.1086/149127

J. Lidsey, Multiple and anisotropic inflation with exponential potentials, Classical and Quantum Gravity, vol.9, issue.5, p.1239, 1992.
DOI : 10.1088/0264-9381/9/5/008

J. Martin and D. Schwartz, WKB approximation for inflationary cosmological perturbations, Physical Review D, vol.67, issue.8, p.83512, 2003.
DOI : 10.1103/PhysRevD.67.083512
URL : http://arxiv.org/abs/astro-ph/0210090

J. Lidsey, Reconstructing the inflaton potential???an overview, Reviews of Modern Physics, vol.69, issue.2, pp.373-374, 1993.
DOI : 10.1103/RevModPhys.69.373

S. Sarkar, Big bang nucleosynthesis and physics beyond the standard model, Reports on Progress in Physics, vol.59, issue.12, p.1493, 1996.
DOI : 10.1088/0034-4885/59/12/001

M. Lemoine, Stress-energy tensor for trans-Planckian cosmology, Physical Review D, vol.65, issue.2, p.23510, 2002.
DOI : 10.1103/PhysRevD.65.023510
URL : http://arxiv.org/abs/hep-th/0109128

T. Damour and M. Henneaux, Chaos in Superstring Cosmology, Physical Review Letters, vol.85, issue.5, p.920, 2000.
DOI : 10.1103/PhysRevLett.85.920

T. Damour and M. Henneaux, Oscillatory behaviour in homogeneous string cosmology models, Physics Letters B, vol.488, issue.2, p.108, 2000.
DOI : 10.1016/S0370-2693(00)00838-8
URL : http://doi.org/10.1016/s0370-2693(00)00838-8

D. Grezia and E. , Spacetime noncommutativity and antisymmetric tensor dynamics in the early Universe, Physical Review D, vol.68, issue.10, p.105012, 2003.
DOI : 10.1103/PhysRevD.68.105012

F. Bernardeau, T. Brunier, and J. Uzan, High order correlation functions for a self-interacting scalar field in de Sitter space, Physical Review D, vol.69, issue.6, p.63520, 2004.
DOI : 10.1103/PhysRevD.69.063520

S. Weinberg, Quantum contributions to cosmological correlations, Physical Review D, vol.72, issue.4, p.43514, 2005.
DOI : 10.1103/PhysRevD.72.043514
URL : http://arxiv.org/abs/hep-th/0506236

S. Weinberg, Quantum contributions to cosmological correlations. II. Can these corrections become large?, Physical Review D, vol.74, issue.2, p.23508, 2006.
DOI : 10.1103/PhysRevD.74.023508

A. Pullen and M. Kamionkowsky, Cosmic microwave background statistics for a direction-dependent primordial power spectrum, Physical Review D, vol.76, issue.10, p.103529, 2007.
DOI : 10.1103/PhysRevD.76.103529

?. , ?. ?. , ?. , ?. , ?. et al., ?? r????r??? ? été ??ét??? ??s ??rt?r??t???s ?? ???à ?? ???r?r? ???é??r?? ?? ?????t ??s ?s???ts ??s ???s t?é?r?q??s ??sq??à ?? rés???t??? ??s éq??t???s ??s éq??t???s ??????q??s ??s ??rt?r??t???s ??t été ???s??éré?s ??sq?? ???s ?? ???r? très ??r?? ?? ?? t?é?r?? ???ét?q??? ?? ??s?st??

?. , ?. , @. ?. , ?. , ?. ?? et al., ???s ?? ???r? ??s??????q??? ?? ?? tr????? ?st ???rs????? ?? ??r??ttr? ?? r????tr?r ??s ???rts t?é?r?q??s s?r ??s ?s???ts ????????t??? ?? ?? t?é?r?? ??s ??rt?r??t???s ???tôt q?? s?r ?? ???r???r ??s ??????s ??t?r?é????r?s? ?? s?????? ??rt?? ?? ??s r????r???s ??t ???s??ré? à ??ét??? ??s ?????rs ???s?tr???s? ???s ?? ??t???s s?r ?? s???tr? ?? ???ss???? ??s ???t??t???s ?r???r?????s? ?? ?st t?????q?????t ??sé ?? ?é?ér???s?r ?? t?é?r?? ??s ??rt?r??t???s ????r???t?s ?? ????? à t??s ??s t???s ???s????s ???s?tr???s? ???s ?? rés???t??? ??s éq??t???s ??????q??s ?é??ss?t?

?. , ?. ??s-?ér??é?s-?-?-??r??, ?. , ?. , ?. et al., ?s s??t????s ? ij ?st ????é ??r ??s éq??t???s ???? ??s r???t???s ?? ?????t?t??? ?é?ér???s [D i , D j ] X k = (3) R qkji X q [D i , D j ] X kl = (3) R qkji X ql + (3) R qlji X kq ??? ??? ??? ?????????s ?? ?é???t ????s????? ??s r???t???s ?t???s s?????t?s?