Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5395
Full metadata record
DC FieldValueLanguage
dc.contributor.authorFujita, Ryuichi-
dc.date.accessioned2013-02-01T08:45:53Z-
dc.date.available2013-02-01T08:45:53Z-
dc.date.issued2012-11-
dc.identifier.citationProgress of Theoretical Physics, 2012, Vol.128, p971en
dc.identifier.issn0033-068X-
dc.identifier.issn1347-4081(Online)-
dc.identifier.urihttp://hdl.handle.net/2289/5395-
dc.descriptionRestricted Access.en
dc.description.abstractWe 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.isoenen
dc.publisherInstitute of Pure and Applied Physicsen
dc.relation.urihttp://arxiv.org/abs/1211.5535en
dc.relation.urihttp://dx.doi.org/10.1143/PTP.128.971en
dc.relation.urihttp://adsabs.harvard.edu/abs/2012PThPh.128..971Fen
dc.rights2012 Institute of Pure and Applied Physicsen
dc.titleGravitational waves from a particle in circular orbits around a schwarzschild black hole to the 22nd post-Newtonian orderen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

Files in This Item:
File Description SizeFormat 
2012_Prog Theor Phys_V128_p971..pdf
  Restricted Access
Restricted Access726.53 kBAdobe PDFView/Open Request a copy


Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.