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Phase transition and entropy spectrum of the BTZ black hole with torsion

Meng-Sen Ma* and Ren Zhao

  • Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong, China Department of Physics, Shanxi Datong University, 037009 Datong, China

  • *mengsenma@gmail.com
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Phys. Rev. D 89, 044005 – Published 5 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.044005

Abstract

In this paper, we study the phase transition and the entropy spectrum of the Bañados-Teitelboim-Zanelli (BTZ) black hole with torsion obtained in (1+2)-dimensional Poincaré gauge theory. By calculating the heat capacity, we find that the BTZ black hole with torsion we consider will experience phase transition at some critical point. This indicates that the critical behaviors of black holes do not only depend on the geometry of spacetime, but also have to do with the theory of gravity under consideration. In addition, we derive the entropy spectrum of the BTZ black hole according to the quasinormal modes and the adiabatic invariance. It shows that the area or entropy spectrum will also rely on the concrete gravitational action.

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Phys. Rev. D 89, 044005– Published 5 February, 2014
  • Received 18 October 2013

© 2014 American Physical Society

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