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

Abstract

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.

4 pages, 3 Encapsulated PostScript figures

References in corpus (2)

• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission: II. Inspiral trajectories and gravitational waveforms

Cited by in corpus (16)

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• Self-Force with a Stochastic Component from Radiation Reaction of a Scalar Charge Moving in Curved Spacetime
• Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
• Orbital evolution of a particle around a black hole: II. Comparison of contributions of spin-orbit coupling and the self force
• A numerical relativistic model of a massive particle in orbit near a Schwarzschild black hole
• Persistent junk solutions in time-domain modeling of extreme mass ratio binaries
• Self-force gravitational waveforms for extreme and intermediate mass ratio inspirals. II: Importance of the second-order dissipative effect
• A nonlinear scalar model of extreme mass ratio inspirals in effective field theory I. Self force through third order
• Self-forced gravitational waveforms for Extreme and Intermediate mass ratio inspirals
• Regularization of second-order scalar perturbation produced by a point-particle with a nonlinear coupling
• Regularization of the second-order gravitational perturbations produced by a compact object
• Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation