par Compère, Geoffrey ;Vandevoorde, Noé;Oliveri, Roberto ;Astorino, Marco
Référence Physical Review D - Particles, Fields, Gravitation and Cosmology, 94, 2, page (024019)
Publication Publié, 2016-01-01
Article révisé par les pairs
Résumé : 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.