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

Morozova, Viktoriya S. and Rezzolla, Luciano and Ahmedov, Bobomurat J. (2014) Nonsingular electrodynamics of a rotating black hole moving in an asymptotically uniform magnetic test field. Physical Review D, 89 (10). Art. No. 104030. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20140821-090802301

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.89.104030DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.89.104030PublisherArticle
http://arxiv.org/abs/1310.3575arXivDiscussion Paper
Additional Information:© 2014 American Physical Society. Received 11 October 2013; published 20 May 2014. It is a pleasure to thank Maxim Lyutikov for interesting discussions. This work has been partially supported by “CompStar,” a Research Networking Programme of the European Science Foundation. Partial support also comes from the DFG Grant No. SFB/Transregio 7 and the Volkswagen Stiftung (Grant No. 86 866).
Funders:
Funding AgencyGrant Number
European Science FoundationUNSPECIFIED
DFG (Germany)SFB/Transregio 7
Volkswagen Stiftung86 866
Issue or Number:10
Classification Code:PACS numbers: 04.70.-s, 04.40.-b
Record Number:CaltechAUTHORS:20140821-090802301
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140821-090802301
Official Citation:Morozova, V. S., Rezzolla, L., & Ahmedov, B. J. (2014). Nonsingular electrodynamics of a rotating black hole moving in an asymptotically uniform magnetic test field. Physical Review D, 89(10), 104030.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48763
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:21 Aug 2014 19:49
Last Modified:03 Oct 2019 07:07

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