TY - JOUR

T1 - Nonsingular electrodynamics of a rotating black hole moving in an asymptotically uniform magnetic test field

AU - Morozova, Viktoriya S.

AU - Rezzolla, Luciano

AU - Ahmedov, Bobomurat J.

PY - 2014/5/20

Y1 - 2014/5/20

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.89.104030

DO - 10.1103/PhysRevD.89.104030

M3 - Article

AN - SCOPUS:84901460040

SN - 1550-7998

VL - 89

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 10

M1 - 104030

ER -