Self-force on a charge outside a five-dimensional black hole
| Autor: | Eric Poisson, Matthew J. S. Beach, B. G. Nickel |
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| Rok vydání: | 2014 |
| Předmět: |
Power series
Physics Nuclear and High Energy Physics 010308 nuclear & particles physics Scalar (mathematics) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Charged black hole 01 natural sciences General Relativity and Quantum Cosmology Charged particle Black hole Quantum mechanics Regularization (physics) 0103 physical sciences Extremal black hole 010306 general physics Schwarzschild radius |
| Zdroj: | Physical Review D. 89 |
| ISSN: | 1550-2368 1550-7998 |
| Popis: | We compute the electromagnetic self-force acting on a charged particle held in place at a fixed position r outside a five-dimensional black hole described by the Schwarzschild-Tangherlini metric. Using a spherical-harmonic decomposition of the electrostatic potential and a regularization prescription based on the Hadamard Green's function, we express the self-force as a convergent mode sum. The self-force is first evaluated numerically, and next presented as an analytical expansion in powers of R/r, with R denoting the event-horizon radius. The power series is then summed to yield a closed-form expression. Unlike its four-dimensional version, the self-force features a dependence on a regularization parameter s that can be interpreted as the particle's radius. The self-force is repulsive at large distances, and its behavior is related to a model according to which the force results from a gravitational interaction between the black hole and the distribution of electrostatic field energy attached to the particle. The model, however, is shown to become inadequate as r becomes comparable to R, where the self-force changes sign and becomes attractive. We also calculate the self-force acting on a particle with a scalar charge, which we find to be everywhere attractive. This is to be contrasted with its four-dimensional counterpart, which vanishes at any r. 26 pages, 2 figures. Major changes from previous version: the regularization procedure is now fully justified, and the singular field is shown to make a contribution to the self-force |
| Databáze: | OpenAIRE |
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