Scalar field self-force effects on a particle orbiting a Reissner-Nordström black hole

2016/10/07 by Donato Bini, Gabriel Carvalho, Gabriel G. Carvalho +1
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Charged black hole #Classical field theory #Classical mechanics #Field (mathematics) #General relativity #Geometry #Gravitation #Gravitational field #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar theories of gravitation #Schwarzschild metric #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1103/physrevd.94.124028

published as Phys. Rev. D 94, 124028 (2016) · 16 pages, 3 eps figures, revtex macros

arxiv created 2016/10/07 · openalex publication_date 2016/12/20 · arxiv updated 2016/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Scalar field self-force effects on a scalar charge orbiting a Reissner-Nordstr"om black hole are investigated. The scalar wave equation is solved analytically in a post-Newtonian framework, and the solution is used to compute the self-field (up to 7.5 post-Newtonian order) as well as the components of the self-force at the particle's location. The energy fluxes radiated to infinity and down the hole are also evaluated. Comparison with previous numerical results in the Schwarzschild case shows a reasonable agreement in both strong field and weak field regimes.

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