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Studying gravitational waves of compact binary systems using post-Newtonian theory

Abstract : The detection and the analysis of gravitational waves emitted by compact binary systems rely on our ability to make accurate predictions within general relativity. In this thesis, we use the post-Newtonian (PN) formalism, and in particular the Blanchet-Damour-Iyer framework, to study the dynamics and the emission of gravitational waves of such systems. The different computations that we performed are motivated by our aim to obtain the phase of the gravitational wave signal at the 4.5PN order. In that regard, crucial steps have been achieved within this thesis. First of all, we compute the third-order tail effects in the radiation field, yielding the 4.5PN coefficient of the energy flux for binaries of non-spinning objects in circular orbits. Besides, we determine the remaining ambiguity of the 4PN Lagrangian of two spinless compact bodies. This result completes the first derivation from first principles of the 4PN equations of motion. Then we comprehensively study the conserved quantities of the 4PN dynamics. Finally, we provide a preliminary result of the 4PN source mass quadrupole, which constitutes one of the crucial steps towards the computation of the 4.5PN phase.
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  • HAL Id : tel-02325598, version 1

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Tanguy Marchand. Studying gravitational waves of compact binary systems using post-Newtonian theory. Other [cond-mat.other]. Sorbonne Université, 2018. English. ⟨NNT : 2018SORUS121⟩. ⟨tel-02325598⟩

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