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Thermodynamics of rotating charged dilaton black holes in an external magnetic field

2013/04/30 by Stoytcho S. Yazadjiev
Physics and Astronomy · #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2013.05.028

11 pages. arXiv admin note: text overlap with arXiv:1302.5530;v2 typos corrected

arxiv created 2013/09/09 · arxiv updated 2015/06/15

Abstract

In the present paper we study the long-standing problem for the thermodynamics of magnetized dilaton black holes. For this purpose we construct an exact solution describing a rotating charged dilaton black hole immersed in an external magnetic field and discuss its basic properties. We derive a Smarr-like relation and the thermodynamics first law for these magnetized black holes. The novelty in the thermodynamics of the magnetized black holes is the appearance of new terms proportional to the magnetic momentum of the black holes in the Smarr-like relation and the first law.

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