Mass of Kerr-Newman black holes in an external magnetic field
Marco AstorinoCentro de Estudios Científicos (CECs), Valdivia, ChileGeoffrey CompèreUniversité Libre de Bruxelles and International Solvay Institutes CP 231, B-1050 Brussels, BelgiumRoberto OliveriUniversité Libre de Bruxelles and International Solvay Institutes CP 231, B-1050 Brussels, BelgiumNoé VandevoordeUniversité Libre de Bruxelles and International Solvay Institutes CP 231, B-1050 Brussels, Belgium
2016en
ABI
Abstract
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.
Identifiers
Citations and references
Cited by 20 references