Coalescence of black holes in general relativity & The dark matter problem in astrophysics

Le Tiec, Alexandre

Coalescence of black holes in general relativity & The dark matter problem in astrophysics

Alexandre Le Tiec
(
- Paris, Inst. Astrophys.
)

Sep 27, 2010

297 pages

Supervisor:

Luc Blanchet

Thesis: PhD

Paris, Inst. Astrophys.

(2010)

Published: Sep 27, 2010

Report number:

tel-00521645

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Abstract: (TEL)

The first part of this PhD thesis is concerned with the modelling of the gravitational radiation emitted by coalescing binary black holes, to be detected by the ground and spaced-based gravitational-wave antennas LIGO/VIRGO and LISA. We study the relativistic dynamics of such compact binary systems using two approximation schemes in general relativity: the post-Newtonian formalism, and the self-force approach, a natural extension of black hole perturbation theory; we demonstrate the consistency of these results in their common domain of validity. We then combine these same two perturbative methods in order to estimate the gravitational recoil effect for coalescing binaries of Schwarzschild black holes; the results are shown to be in very good agreement with those obtained from simulations in numerical relativity. The second part of this thesis is devoted to the dark matter problem in astrophysics. The dark matter hypothesis successfully accounts for many independent observations from cosmological down to galaxy cluster scales. However, observations at the galactic scale are better reproduced by the modified Newtonian dynamics (MOND) proposal, which posits a modification of the fundamental laws of gravity in the absence of dark matter. We propose a third alternative: retaining the standard theory of gravitation, while endowing the dark matter particles with a property of polarizability in a gravitational field, in order to account for the phenomenology of MOND at the scale of galaxies.

general relativity
gravitational waves
black holes
post-Newtonian
cosmology
dark matter
black hole: binary: coalescence
binary: coalescence
gravitational radiation: emission
black hole: Schwarzschild

References(439)

Figures(0)

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