Gravitational waves from a particle in circular orbits around a schwarzschild black hole to the 22nd post-Newtonian order

Fujita, Ryuichi

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5395

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DC Field	Value	Language
dc.contributor.author	Fujita, Ryuichi	-
dc.date.accessioned	2013-02-01T08:45:53Z	-
dc.date.available	2013-02-01T08:45:53Z	-
dc.date.issued	2012-11	-
dc.identifier.citation	Progress of Theoretical Physics, 2012, Vol.128, p971	en
dc.identifier.issn	0033-068X	-
dc.identifier.issn	1347-4081(Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/5395	-
dc.description	Restricted Access.	en
dc.description.abstract	We extend our previous results of the 14th post-Newtonian (PN) order expansion of gravitational waves for a test particle in circular orbits around a Schwarzschild black hole to the 22PN order, i.e. v^{44} beyond the leading Newtonian approximation where v is the orbital velocity of a test particle. Comparing our 22PN formula for the energy flux with high precision numerical results, we find that the relative error of the 22PN flux at the innermost stable circular orbit is about 10^{-5}. We also estimate the phase difference between the 22PN waveforms and numerical waveforms after a two-year inspiral. We find that the dephase is about 10^{-9} for μ/M = 10^{-4} and 10^{-2} for μ/M = 10^{-5} where μ is the mass of the compact object and M the mass of the central supermassive black hole. Finally, we construct a hybrid formula of the energy flux by supplementing the 4PN formula of the energy flux for circular and equatorial orbits around a Kerr black hole with all the present 22PN terms for the case of a Schwarzschild black hole. Comparing the hybrid formula with the the full numerical results, we examine the performance of the hybrid formula for the case of Kerr black hole.	en
dc.language.iso	en	en
dc.publisher	Institute of Pure and Applied Physics	en
dc.relation.uri	http://arxiv.org/abs/1211.5535	en
dc.relation.uri	http://dx.doi.org/10.1143/PTP.128.971	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2012PThPh.128..971F	en
dc.rights	2012 Institute of Pure and Applied Physics	en
dc.title	Gravitational waves from a particle in circular orbits around a schwarzschild black hole to the 22nd post-Newtonian order	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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