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Prog. Theor. Phys. Vol. 127 No. 3 (2012) pp. 583-590

[ Full Text PDF : FREE ACCESS (320K) ]

Letters

Gravitational Radiation for Extreme Mass Ratio Inspirals to the 14th Post-Newtonian Order

Ryuichi Fujita1,2

1Raman Research Institute, Bangalore 560 080, India
2Departament de Física, Universitat de les Illes Balears, Cra. Valldemossa Km. 7.5, Palma de Mallorca, E-07122, Spain

(Received November 11, 2011; Revised January 14, 2012)

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.

Subject Index : 420, 452
URL : http://ptp.ipap.jp/link?PTP/127/583/
DOI : 10.1143/PTP.127.583

[ Full Text PDF : FREE ACCESS (320K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 128 No. 5 (2012) pp. 971-992 :
    Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
    Ryuichi Fujita

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