MG13 - Talk detail |
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Participant |
Fujita, Ryuichi | |||||||
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Institution |
Universitat de les Illes Balears - Cra. de Valldemossa, km 7.5 - Palma - Mallorca - Spain | |||||||
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Session |
AN2/3 |
Accepted |
Yes |
Order |
5 |
Time |
15:44 - 16:00 | 14' + 2' |
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Talk |
Oral abstract |
Title |
Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a black hole | |||||
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Abstract |
We derive gravitational waveforms needed to compute the 18th post-Newtonian (18PN) order energy flux, i.e. $v^{36}$ beyond Newtonian approximation where $v$ is the orbital velocity of a test particle, in a circular orbit around a Schwarzschild black hole. Comparing our 18PN formula for the energy flux with high precision numerical results, we find that the relative error of the 18PN flux at the innermost stable circular orbit is about $10^{-5}$. Finally, we derive the 8PN expression of the energy flux for circular and equatorial orbits around a Kerr black hole and examine the applicability of our 18PN expressions to the case of the Kerr black hole by combining our 8PN formula for the Kerr black hole. |
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