Adiabatic analysis of the rotating BTZ black hole

Mohsen Fathi; Samuel Lepe; J. R. Villanueva

doi:10.1140/epjc/s10052-021-09302-6

Adiabatic analysis of the rotating BTZ black hole

Mohsen Fathi
, Samuel Lepe
, J. R. Villanueva

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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 second and third laws of black hole thermodynamics. In particular, the merging of two extremal black holes is studied in detail.

Original language	English
Article number	499
Journal	European Physical Journal C
Volume	81
Issue number	6
DOIs	https://doi.org/10.1140/epjc/s10052-021-09302-6
State	Published - Jun 2021
Externally published	Yes

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title = "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 Carath{\'e}odory 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.",

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AU - Lepe, Samuel

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85107222153

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DO - 10.1140/epjc/s10052-021-09302-6

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SN - 1434-6044

VL - 81

JO - European Physical Journal C

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Adiabatic analysis of the rotating BTZ black hole

Abstract

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