PostNewtonian expansion of gravitational waves from a particle in circular orbits around a rotating black hole: Up to O (v**8) beyond the quadrupole formula

Extending a method developed by Sasaki in the Schwarzschild case and by Shibata, Sasaki, Tagoshi, and Tanaka in the Kerr case, we calculate the post-Newtonian expansion of the gravitational wave luminosities from a test particle in circular orbit around a rotating black hole up to

O(v~8)

beyond the quadrupole formula. The orbit of a test particle is restricted on the equatorial plane. We find that spin dependent terms appear in each post-Newtonian order, and that at

O(v~6)

they have a significant effect on the orbital phase evolution of coalescing compact binaries. By comparing the post-Newtonian formula of the luminosity with numerical results we find that, for

30M\lesssim r \lesssim 100M

, the spin dependent terms at

O(v~6)

and

O(v~7)

improve the accuracy of the post-Newtonian formula significantly, but those at

O(v~8)

do not improve.

04.25.Nx
04.30.Db
97.60.Lf
gravitational radiation: luminosity
black hole: orbit
spin: dependence
dependence: spin
n: matter
numerical calculations

References(40)

Figures(0)

LIGO: The Laser interferometer gravitational wave observatory

Alex Abramovici
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
William E. Althouse
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Ronald W.P. Drever
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Yekta Gursel
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)
,
Seiji Kawamura
(
- Caltech and
- Caltech, JPL and
- MIT, LNS
)

et al.

- Science 256 (1992) 325-333
•
DOI:
- 10.1126/science.256.5055.325

The Virgo Project: A Wide Band Antenna for Gravitational Wave Detection

A. Giazotto
(
- INFN, Pisa
)

- Nucl.Instrum.Meth.A 289 (1990) 518-525,
- In *Cavalese 1988, Proceedings, General relativity and gravitational physics* 221-237.
•
DOI:
- 10.1016/0168-9002(90)91525-G

The Rate of neutron star binary mergers in the universe: Minimal predictions for gravity wave detector

E.S. Phinney
(
- Caltech and
- Santa Barbara, KITP
)

- Astrophys.J.Lett. 380 (1991) L17-L21
•
DOI:
- 10.1086/186163

Testing scalar - tensor gravity with gravitational wave observations of inspiraling compact binaries

Clifford M. Will
(
- Washington U., St. Louis
)

- Phys.Rev.D 50 (1994) 6058-6067,
- Phys. Rev. D50 (1994) 6058-6067, and Washington U. St. Louis - WU-GRAV-94-06 (94,rec.Jul.) 13 p. (412556)
•
e-Print:
- gr-qc/9406022
•
DOI:
- 10.1103/PhysRevD.50.6058

On the possibility of determining cosmological parameters from measurements of gravitational waves emitted by coalescing, compact binaries

Dragoljub Markovic
(
- Caltech
)

- Phys.Rev.D 48 (1993) 4738-4756
•
DOI:
- 10.1103/PhysRevD.48.4738

The Last three minutes: issues in gravitational wave measurements of coalescing compact binaries

Curt Cutler
(
- Caltech
)
,
Theocharis A. Apostolatos
(
- Caltech
)
,
Lars Bildsten
(
- Caltech
)
,
Lee Samuel Finn
(
- Northwestern U.
)
,
Eanna E. Flanagan
(
- Caltech
)

et al.

- Phys.Rev.Lett. 70 (1993) 2984-2987
•
e-Print:
- astro-ph/9208005
•
DOI:
- 10.1103/PhysRevLett.70.2984

Gravitational waves from merging compact binaries: How accurately can one extract the binary's parameters from the inspiral wave form?

Curt Cutler
(
- Caltech
)
,
Eanna E. Flanagan
(
- Caltech
)

- Phys.Rev.D 49 (1994) 2658-2697
•
e-Print:
- gr-qc/9402014
•
DOI:
- 10.1103/PhysRevD.49.2658

Gravitational waves from inspiraling compact binaries: Parameter estimation using second postNewtonian wave forms

- Phys.Rev.D 52 (1995) 848-855
•
e-Print:
- gr-qc/9502040
•
DOI:
- 10.1103/PhysRevD.52.848

Radiative gravitational fields in general relativity I. general structure of the field outside the source

- Phil.Trans.Roy.Soc.Lond.A 320 (1986) 379-430
•
DOI:
- 10.1098/rsta.1986.0125

Tail Transported Temporal Correlations in the Dynamics of a Gravitating System

Luc Blanchet
(
- Meudon Observ.
)
,
Thibault Damour
(
- Meudon Observ.
)

- Phys.Rev.D 37 (1988) 1410
•
DOI:
- 10.1103/PhysRevD.37.1410

Postnewtonian Generation of Gravitational Waves

L. Blanchet
(
- Meudon Observ. and
- IHES, Bures-sur-Yvette
)
,
T. Damour
(
- Meudon Observ. and
- IHES, Bures-sur-Yvette
)

- Ann.Inst.H.Poincare Phys.Theor. 50 (1989) 377-408,
- Ann. IHP Phys. Theor. 50 (1989) 377-408

Hereditary effects in gravitational radiation

Luc Blanchet
(
- Meudon Observ.
)
,
Thibault Damour
(
- IHES, Bures-sur-Yvette and
- Meudon Observ.
)

- Phys.Rev.D 46 (1992) 4304-4319,
- Phys. Rev. D46 (1992) 4304-4319 and Bures-sur-Yvette Inst. High Sci. Stud. - IHES-P-92-42 (92/07) 31 p. (218615)
•
DOI:
- 10.1103/PhysRevD.46.4304