BN7 - Interfacing analytical and numerical relativity |
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Speaker |
Le Tiec, Alexandre |
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| Talk Title |
The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem |
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Abstract |
Inspiraling and coalescing binary black holes are among the most promising sources of gravitational radiation to be detected by existing ground-based laser interferometers and future space-based antennas. The detection and analysis of the signals from these sources require very accurate theoretical predictions, for use as gravitational-wave templates to be compared to the output of the detectors. The orbital dynamics and gravitational-wave emission of such systems can be investigated using a variety of approximation schemes and numerical methods in General Relativity: the post-Newtonian formalism, black hole perturbation theory, numerical relativity simulations, and the effective-one-body model. I will review some recent work at the interfaces of these analytical and numerical techniques, emphasizing the use of coordinate-invariant relationships to perform meaningful comparisons. Some highlights include (i) the remarkable agreement between the predictions of the various methods, and (ii) the surprising observation that perturbation theory may turn out to be useful in the modelling of intermediate mass-ratio inspirals or even binaries with comparable masses. |
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