https://doi.org/10.1140/epjc/s10052-021-09302-6
Regular Article - Theoretical Physics
Adiabatic analysis of the rotating BTZ black hole
1
Instituto de Física y Astronomía, Universidad de Valparaíso, Avenida Gran Bretaña 1111, Valparaíso, Chile
2
Instituto de Física, Pontificia Universidad de Católica de Valparaíso, Avenida Brasil 2950, Valparaíso, Chile
Received:
8
March
2021
Accepted:
29
May
2021
Published online:
6
June
2021
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 second and third laws of black hole thermodynamics. In particular, the merging of two extremal black holes is studied in detail.
© The Author(s) 2021
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