MG13 - Talk detail |
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Participant |
Marsat, Sylvain | |||||||
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Institution |
Institut d'Astrophysique de Paris - 98 bis Boulevard Arago - Paris - Ile-de-France - France | |||||||
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Session |
AN1 |
Accepted |
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Time |
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Talk |
Oral abstract |
Title |
The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries | |||||
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Abstract |
We present our computation of the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar post-Newtonian formalism, and restricted to binaries without spins moving on quasi-circular orbits. The new inputs mainly include the 3.5PN terms in the mass quadrupole moment of the source, and the control of required subdominant corrections to the contributions of hereditary integrals (tails and non-linear memory e ect). The result is given in the form of the quadrupolar mode (2; 2) in a spin-weighted spherical harmonic decomposition of the waveform, and will allow a more accurate comparison with the outcome of numerical relativity simulations. |
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Session |
AT2 |
Accepted |
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Time |
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Oral abstract |
Title |
Modified gravity approach based on a preferred time foliation | |||||
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Abstract |
We propose, in a heuristic way, a relativistic modified gravity model as an alternative to particle dark matter at galactic scales. The model is based on a postulated preferred time foliation described by a dynamical scalar field called the “Khronon”. In coordinates adapted to the foliation it appears as a modification of general relativity violating local Lorentz invariance in a regime of weak gravitational fields. The model is a particular case of non-canonical Einstein-æther theory, but in which the æther vector field is hypersurface orthogonal. We show that this model recovers the phenomenology of the modified Newtonian dynamics (MOND) in the non-relativistic limit, and predicts the same gravitational lensing as general relativity but with a modified Poisson-type potential. |
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