Gravitational self-force on a particle orbiting a Kerr black hole

Abstract

We present a practical method for calculating the gravitational self-force, as well as the electromagnetic and scalar self forces, for a particle in a generic orbit around a Kerr black hole. In particular, we provide the values of all the regularization parameters needed for implementing the (previously introduced) {\it mode-sum regularization} method. We also address the gauge-regularization problem, as well as a few other issues involved in the calculation of gravitational radiation-reaction in Kerr spacetime.

4 pages, Latex. Version to appear in Physical Review Letters

References in corpus (22)

• Closest Star Seen Orbiting the Supermassive Black Hole at the Centre of the Milky Way
• Gravitational Radiation Reaction to a Particle Motion
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• Self-force via a Green's function decomposition
• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• Gravitational Waves from a Compact Star in a Circular, Inspiral Orbit, in the Equatorial Plane of a Massive, Spinning Black Hole, as Observed by LISA
• Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission: II. Inspiral trajectories and gravitational waveforms
• Mode sum regularization approach for the self-force in black hole spacetime
• Calculating the gravitational self force in Schwarzschild spacetime
• Approximating the inspiral of test bodies into Kerr black holes
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Gravitational self force and gauge transformations
• Self force on particle in orbit around a black hole
• Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole
• Pragmatic approach to gravitational radiation reaction in binary black holes
• Reconstruction of Black Hole Metric Perturbations from Weyl Curvature
• Regularization parameters for the self force in Schwarzschild spacetime: I. scalar case
• Radiation-reaction force on a particle plunging into a black hole
• Gravitational self force by mode sum regularization
• Self-force on a scalar particle in spherically-symmetric spacetime via mode-sum regularization: radial trajectories
• Self force on a scalar charge in the spacetime of a stationary, axisymmetric black hole
• Gravitational reaction force on a particle in the Schwarzschild background

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• Adiabatic evolution due to the conservative scalar self-force during orbital resonances