Nonsingular electrodynamics of a rotating black hole moving in an asymptotically uniform magnetic test field

Viktoriya S. Morozova, Luciano Rezzolla, Bobomurat J. Ahmedov

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

We extend the Wald solution to a black hole that is also moving at constant velocity. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field. By adopting Kerr-Schild coordinates we avoid singular behaviors at the horizon and obtain a complete description of the charge and current distributions in terms of the black-hole spin and velocity. Using this solution, we compute the energy losses expected when charged particles are accelerated along the magnetic field lines, improving previous estimates that had to cope with singular electromagnetic fields on the horizon. When used to approximate the emission from binary black holes in a uniform magnetic field, our estimates match reasonably well those from numerical-relativity calculations in the force-free approximation.

Original languageEnglish (US)
Article number104030
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume89
Issue number10
DOIs
StatePublished - May 20 2014

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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