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Published October 15, 2000 | public
Journal Article Open

Radiation-reaction force on a particle plunging into a black hole

Abstract

We calculate the self-force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle's self-field as a linear perturbation over the fixed Schwarzschild background. The force is calculated by numerically solving the appropriate wave equation for each mode of the field in the time domain, calculating its contribution to the self-force, and summing over all modes using Ori's mode-sum regularization prescription. The radial component of the force is attractive at large distances, and becomes repulsive as the particle approaches the event horizon.

Additional Information

©2000 The American Physical Society. Received 11 May 2000; published 27 September 2000. We thank Amos Ori, Lee Lindblom, and Kip Thorne for discussions. L.M.B. wishes to thank the Technion Institute of Theoretical Physics, where part of this research was done, for hospitality. At Caltech this research was supported by NSF grants AST-9731698 and PHY-9900776 and by NASA grant NAG5-6840.

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Created:
August 21, 2023
Modified:
October 16, 2023