Adiabatic analysis of the rotating BTZ black hole

Abstract

In this paper we analyze some interesting features of the thermodynamics of the rotating BTZ black hole from the Carathéodory axiomatic postulate, for which, we exploit the appropriate Pfaffian form. The allowed adiabatic transformations are then obtained by solving the corresponding Cauchy problem, and are studied accordingly. Furthermore, we discuss the implications of our approach, regarding the the second and third laws of black hole thermodynamics. In particular, the merging of two extremal black holes is studied in detail.

Accepted version

References in corpus (6)

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Cited by in corpus (4)

• Thermodynamics of multi-horizon spacetimes
• New black hole solutions in three-dimensional $f(R)$ gravity
• Hawking radiation in multi-horizon spacetimes using Hamilton Jacobi method
• Carathéodory's thermodynamics of the Schwarzschild black hole surrounded by quintessence