BH4 - Gravitational fields with sources: From compact objects to black holes |
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Speaker |
d'Ambrosi, Giuseppe |
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| Talk Title |
Ballistic orbits for gravitational waves |
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Abstract |
Among the sources of gravitational waves worth modelling there are Extreme Mass Ratio binaries. In order to understand the dynamics during their coalescence, we describe a special class of ballistic geodesics in Schwarzschild space-time. These orbits are in 1-1 correspondence, and completely degenerate in energy and angular momentum, with stable circular orbits. From these special orbits we derive analytic expressions for the source terms in the Regge-Wheeler and Zerilli-Moncrief radiative equations for a point-particle, and compute the gravitational waves emitted during the infall in an Extreme Mass Ratio black-hole binary coalescence. Results of these calculations and the waveforms obtained are then discussed, showing limits and applicability of the method." |
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