Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation

Details Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation

2007-04-05

arxiv.org/abs/0704.0797v2

Phys.Rev.D75:124011,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 18 figures, RevTeX4 some typos fixed, published version

Scientific paper

10.1103/PhysRevD.75.124011

We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving charge; this is done numerically with the help of a fourth-order convergent finite-difference scheme formulated in the time domain. The calculation also requires a regularization procedure, because the retarded field is singular on the particle's world line; this is handled mode-by-mode via the mode-sum regularization scheme first introduced by Barack and Ori. This paper presents the numerical method, various numerical tests, and a sample of results for mildly eccentric orbits as well as ``zoom-whirl'' orbits.

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