Gravitational radiation for extreme mass ratio inspirals to the 14th post-Newtonian order

Fujita, Ryuichi

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4766

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DC Field	Value	Language
dc.contributor.author	Fujita, Ryuichi	-
dc.date.accessioned	2012-06-28T08:25:26Z	-
dc.date.available	2012-06-28T08:25:26Z	-
dc.date.issued	2012-03	-
dc.identifier.citation	Progress of Theoretical Physics, 2012, Vol. 127, p583-590	en
dc.identifier.issn	0033-068X	-
dc.identifier.issn	1347-4081 (online)	-
dc.identifier.uri	http://hdl.handle.net/2289/4766	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.abstract	We derive gravitational waveforms needed to compute the 14th post-Newtonian (14PN) order energy flux for a particle in circular orbit around a Schwarzschild black hole, i.e. v28 beyond the leading Newtonian approximation where v is the orbital velocity of a test particle. We investigate the convergence of the energy flux in the PN expansion and suggest a fitting formula which can be used to extract unknown higher order PN coefficients from accurate numerical data for more general orbits around a Kerr black hole. The phase difference between the 14PN waveforms and numerical waveforms after two years inspiral is shown to be about 10-7 for µ/M = 10-4 and 10-3 for µ/M = 10-5 where µ is the mass of a compact object and M the mass of the central supermassive black hole. In first order black hole perturbation theory, for extreme mass ratio inspirals which are one of the main targets of Laser Interferometer Space Antenna, the 14PN expressions will lead to the data analysis accuracies comparable to the ones resulting from high precision numerical waveforms.	en
dc.language.iso	en	en
dc.publisher	Progress of Theoretical Physics	en
dc.relation.uri	http://arxiv.org/abs/1104.5615	en
dc.relation.uri	http://dx.doi.org/10.1143/PTP.127.583	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2012PThPh.127..583F	en
dc.rights	2012 Progress of Theoretical Physics	en
dc.title	Gravitational radiation for extreme mass ratio inspirals to the 14th post-Newtonian order	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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