Orbital evolution of a test particle around a black hole: higher-order corrections

Details Orbital evolution of a test particle around a black hole: higher-order corrections Orbital evolution of a test particle around a black hole: higher-order corrections

2002-08-13

arxiv.org/abs/gr-qc/0208034v1

Phys.Rev. D67 (2003) 084001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 3 Encapsulated PostScript figures

Scientific paper

10.1103/PhysRevD.67.084001

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved perturbatively in the mass ratio (or the corresponding parameter in the scalar field toy model), using the self force, for quasi-circular orbits around a Schwarzschild black hole. This approach is applied for the scalar model. Higher-order corrections yield a phase shift which, if included, may make gravitational-wave astronomy potentially highly accurate.

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