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Phys. Rev. D 61, 061502(R) (2000) [5 pages]

Mode sum regularization approach for the self-force in black hole spacetime

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Leor Barack and Amos Ori
Department of Physics, Technion—Israel Institute of Technology, Haifa, 32000, Israel

Received 2 December 1999; published 23 February 2000

We present a method for calculating the self-force (the “radiation reaction force”) acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the self-force due to each multipole mode of the particle’s field. Then, the sum over modes is evaluated, subject to a certain regularization procedure. Here we develop this regularization procedure for a scalar charge on a Schwarzschild background, and present the results of its implementation for radial trajectories (not necessarily geodesic).

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.061502
DOI:
10.1103/PhysRevD.61.061502
PACS:
04.25.-g, 04.30.Db, 04.70.Bw