Detecting gravitational waves from test-mass bodies orbiting a Kerr black hole with P-approximant templates

Details Detecting gravitational waves from test-mass bodies orbiting a Kerr black hole with P-approximant templates Detecting gravitational waves from test-mass bodies orbiting a Kerr black hole with P-approximant templates

2005-08-09

arxiv.org/abs/gr-qc/0508032v1

Class.Quant.Grav. 22 (2005) S1211-S1222

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 Pages - 9 figures. Accepted for publication. Proceedings of GWDAW 9. Special edition of Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/22/18/S35

In this study we apply post-Newtonian (T-approximants) and resummed post-Newtonian (P-approximants) to the case of a test-particle in equatorial orbit around a Kerr black hole. We compare the two approximants by measuring their effectualness (i.e. larger overlaps with the exact signal), and faithfulness (i.e. smaller biases while measuring the parameters of the signal) with the exact (numerical) waveforms. We find that in the case of prograde orbits, T-approximant templates obtain an effectualness of ~0.99 for spins q < 0.75. For 0.75 < q < 0.95, the effectualness drops to about 0.82. The P-approximants achieve effectualness of > 0.99 for all spins up to q = 0.95. The bias in the estimation of parameters is much lower in the case of P-approximants than T-approximants. We find that P-approximants are both effectual and faithful and should be more effective than T-approximants as a detection template family when q > 0. For q < 0 both T- and P-approximants perform equally well so that either of them could be used as a detection template family. However, for parameter estimation, the P-approximant templates still outperforms the T-approximants.

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