Thermodynamics of charged, rotating, and accelerating black holes

Anabalón, Andrés (grid.440617.0, Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Avenida Padre Hurtado 750, Viña del Mar, 2520000, Chile) ; Gray, Finnian (0000 0000 8658 0851, grid.420198.6, Perimeter Institute, 31 Caroline St., Waterloo, Ontario, N2L 2Y5, Canada) (0000 0000 8644 1405, grid.46078.3d, Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada) ; Gregory, Ruth (0000 0000 8700 0572, grid.8250.f, Centre for Particle Theory, Durham University, South Road, Durham, DH1 3LE, U.K.) (0000 0000 8658 0851, grid.420198.6, Perimeter Institute, 31 Caroline St., Waterloo, Ontario, N2L 2Y5, Canada) ; Kubizňák, David (0000 0000 8658 0851, grid.420198.6, Perimeter Institute, 31 Caroline St., Waterloo, Ontario, N2L 2Y5, Canada) (0000 0000 8644 1405, grid.46078.3d, Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada) ; Mann, Robert (0000 0000 8644 1405, grid.46078.3d, Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada) (0000 0000 8658 0851, grid.420198.6, Perimeter Institute, 31 Caroline St., Waterloo, Ontario, N2L 2Y5, Canada)

16 April 2019

Abstract: We show how to obtain a consistent thermodynamic description of accelerating asymptotically AdS black holes, extending our previous results by including charge and rotation. We find that the key ingredient of consistent thermodynamics is to ensure that the system is not over-constrained by including the possibility of varying the ‘string’ tensions that are responsible for the acceleration of the black hole, yielding a first law of full cohomogeneity. The first law assumes the standard form, with the entropy given by one quarter of the horizon area and other quantities identified by standard methods. In particular we compute the mass in two independent ways: through a Euclidean action calculation and by the method of conformal completion. The ambiguity in the choice of the normalization of the timelike Killing vector can be fixed by explicit coordinate transformation (in the case of rotation) to the standard AdS form or by holographic methods (in the case of charge). This resolves a long-standing problem of formulating the thermodynamics of accelerating black holes, opening the way to detailed studies of their phase behaviour.


Published in: JHEP 1904 (2019) 096 DOI: 10.1007/JHEP04(2019)096
arXiv: 1811.04936
License: CC-BY-4.0



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