Gravitational Self-Force on a Particle Orbiting a Kerr Black Hole

2002/12/31 by Leor Barack, Amos Ori · 3 citations
Engineering · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black hole (networking) #Classical mechanics #Geophysics and Sensor Technology #Gravitation #Gravitational wave #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Rotating black hole #Spacetime #gr-qc

paper · pdf · doi:10.1103/physrevlett.90.111101

published as Phys.Rev.Lett. 90 (2003) 111101 · 4 pages, Latex. Version to appear in Physical Review Letters

arxiv created 2003/03/17 · openalex publication_date 2003/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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) 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.

Citations

• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Self-force on a scalar charge in the spacetime of a stationary, axisymmetric black hole
• Self-force via a Green’s function decomposition
• Calculating the Gravitational Self-Force in Schwarzschild Spacetime
• Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• Reconstruction of black hole metric perturbations from the Weyl curvature

Cited by

• Combined gravitational and electromagnetic self-force on charged particles in electrovac spacetimes
• Homoclinic orbits around spinning black holes. II. The phase space portrait
• Self-force on an accelerated particle