Self-force on a scalar charge in Kerr spacetime: Inclined circular orbits

2014/08/31 by Niels Warburton · 2 citations
Mathematics · Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black hole (networking) #Circular orbit #Classical mechanics #Gamma-ray bursts and supernovae #Geodesic #Geometry #Gravitation #Gravitational field #Mathematical analysis #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Rotating black hole #Scalar (mathematics) #Scalar field #Spacetime #astro-ph.HE #gr-qc

paper · pdf · doi:10.1103/physrevd.91.024045

published as Phys. Rev. D 91, 024045 (2015) · 17 pages, 5 figures. Updated to reflect published version

openalex publication_date 2015/01/30 · arxiv created 2015/02/02 · arxiv updated 2015/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Accurately modeling astrophysical extreme-mass-ratio inspirals requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very complex and, consequently, toy scalar-field models are often developed in order to establish a particular calculational approach. To that end, I present a calculation of the scalar-field self-force for a particle moving on a (fixed) inclined circular geodesic of a background Kerr black hole. I make the calculation in the frequency domain and demonstrate how to apply the mode-sum regularization procedure to all four components of the self-force. I present results for a number of strong-field orbits which can be used as benchmarks for emerging self-force calculation techniques in Kerr spacetime.

Citations

• Mass loss by a scalar charge in an expanding universe
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Celestial mechanics in Kerr spacetime
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• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
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• Global Structure of the Kerr Family of Gravitational Fields
• Two-timescale analysis of extreme mass ratio inspirals in Kerr spacetime: Orbital motion
• The adiabatic evolution of orbital parameters in the Kerr spacetime
• The motion of point particles in curved spacetime

Cited by

• Black holes, gravitational waves and fundamental physics: a roadmap
• Scalar field self-force effects on a particle orbiting a Reissner-Nordström black hole