skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physical Review. D, Particles Fields
 [1]
  1. Department of Physics, University of Guelph, Guelph, Ontario, N1G 2W1 (Canada)

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.

OSTI ID:
20935318
Journal Information:
Physical Review. D, Particles Fields, Vol. 75, Issue 12; Other Information: DOI: 10.1103/PhysRevD.75.124011; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English