MG12 - Talk detail |
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Participant |
Le Tiec, Alexandre | |
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Institution |
Institut d'Astrophysique de Paris - 98bis boulevard Arago - Paris - - France | |
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Session |
Talk |
Abstract |
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ANM1 |
Post-Newtonian calculation of the gravitational self-force for black hole binaries |
The detection and analysis of the gravitational radiation from black hole binaries by the VIRGO, LIGO and LISA observatories requires very accurate theoretical predictions, used as templates. There are two approximation schemes to perform such calculations in General Relativity: (i) the post-Newtonian theory, well suited to describe the inspiraling of arbitrary mass ratio compact binaries in the slow motion regime (v/c << 1), and (ii) the self-force approach, which gives a very accurate description of extreme mass ratio binaries. It is crucial to compare both formalisms in their common domain of validity: the slow motion regime of an extreme mass ratio binary. We present post-Newtonian calculations carried out at 3PN order (i.e. (v/c)^6 beyond the Newtonian approximation) for the self-force of an extreme mass ratio black hole binary on circular orbit. Our result is in perfect agreement with the numerical prediction of the self-force. |