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

Abstract

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).

Minor corrections. Accepted for publication in PRD (Rapid Communications)

References in corpus (3)

• Gravitational wave astronomy
• Self force on static charges in Schwarzschild spacetime
• Energy conservation for point particles undergoing radiation reaction

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