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Mass of Kerr-Newman Black Holes in an external magnetic field

The explicit solution for a Kerr-Newman black hole immersed in an external magnetic field, sometimes called the Melvin-Kerr-Newman black hole, has been derived by Ernst and Wild in 1976. In this paper, we clarify the first law and Smarr formula for black holes in a magnetic field. We then define the unique mass which is integrable and reduces to the Kerr-Newman mass in the absence of magnetic field. This defines the thermodynamic potentials of the black hole. Quite strikingly, the mass coincides with the standard Christodoulou-Ruffini mass of a black hole as a function of the entropy, angular momentum and electric charge.

preprint2016arXivOpen access
M. AstorinoG. CompèreR. OliveriN. Vandevoorde
gr-qc
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Open access4 authors1 topic
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M. AstorinoG. CompèreR. OliveriN. Vandevoorde

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