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Symétries nonrelativistes et gravité de Newton-Cartan

Abstract : With the advent of general relativity, the profound interaction between the geometry of spacetime and gravitational phenomena became a truism of modern physics. However, the intimate relationship between spacetime geometry and gravitation is by no means restricted to relativistic physics but can in fact be successfully applied to nonrelativistic physics, the paradigmatic example being E. Cartan geometrisation of Newtonian gravity. This geometrisation of nonrelativistic gravitation involves some nonrelativistic structures whose discrepancies in comparison with their relativistic peers are better understood when embedded inside specific classes of relativistic gravitational waves. The ambition of this Doctoral Thesis is twofold: In a first part, we discuss a generalisation of the class of gravitational waves allowing the embedding of nonrelativistic features, explore their geometric properties and the new nonrelativistic structures emerging from this study. In a second part, we advocate how the group-theoretically oriented approach of Cartan to differential geometry can shed new light on nonrelativistic structures, both in an intrinsic and ambient fashion.
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Contributor : Kevin Morand <>
Submitted on : Tuesday, March 8, 2016 - 2:41:32 PM
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  • HAL Id : tel-01283692, version 1



Kevin Morand. Symétries nonrelativistes et gravité de Newton-Cartan. Physique des Hautes Energies - Théorie [hep-th]. Laboratoire de mathématiques et physique théorique ; Université François Rabelais, 2014. Français. ⟨tel-01283692⟩



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