Mass bound and thermodynamical behaviour of the charged BTZ black hole

Details Mass bound and thermodynamical behaviour of the charged BTZ black hole Mass bound and thermodynamical behaviour of the charged BTZ black hole

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010jphcs.222a2039c&link_type=abstract

Journal of Physics: Conference Series, Volume 222, Issue 1, pp. 012039 (2010).

Physics

Scientific paper

The charged Bañados-Teitelboim-Zanelli (BTZ) black hole displays divergent boundary terms in the action, which lead to a divergent black hole mass. Once a finite, regularized, mass M is defined black hole states exist for arbitrarily negative values of M, moreover there is no upper bound on the U(1) charge Q. We show that these pathologies can be completely removed by using an alternative renormalization procedure for the black hole mass and defining a new mass Mo, which is the total energy inside the horizon. The new mass satisfies a BPS-like bound Mo >= Q2 and the heat capacity of the hole is positive. We also discuss the black hole thermodynamics that arises when Mo is interpreted as the internal energy of the system. We show, using three independent approaches (black hole thermodynamics, Einstein equations, Euclidean action formulation) that Mo satisfies the first law if a term describing the mechanical work done by the electrostatic pressure is introduced.

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