skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Thermodynamic geometry of charged rotating BTZ black holes

Abstract

We study the thermodynamics and the thermodynamic geometries of charged rotating Banados-Teitelboim-Zanelli black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic geometries and the recently developed formalism of geometrothermodynamics. Considering the behavior of the heat capacity and the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot describe completely the thermodynamics of these black holes and of their limiting case of vanishing electric charge. In contrast, the Legendre invariance imposed on the metric in geometrothermodynamics allows one to describe the charged rotating Banados-Teitelboim-Zanelli black holes and their limiting cases in a consistent and invariant manner.

Authors:
 [1];  [2];  [3];  [4];  [1]
  1. Center for Advanced Mathematics and Physics, National University of Sciences and Technology, H-12, Islamabad (Pakistan)
  2. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, AP 70543, Mexico, DF 04510 (Mexico)
  3. Department of Mathematics, Quaid-i-Azam University, Islamabad (Pakistan)
  4. Departamento de Posgrado, CIIDET, AP 752, Queretaro, QRO 76000 (Mexico)
Publication Date:
OSTI Identifier:
21541497
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 83; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.83.084031; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; ELECTRIC CHARGES; GRAVITATION; METRICS; ROTATION; SPECIFIC HEAT; THERMODYNAMICS; MOTION; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Citation Formats

Akbar, M, Quevedo, H, ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma, Saifullah, K, Sanchez, A, Taj, S, and ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma. Thermodynamic geometry of charged rotating BTZ black holes. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.83.084031.
Akbar, M, Quevedo, H, ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma, Saifullah, K, Sanchez, A, Taj, S, & ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma. Thermodynamic geometry of charged rotating BTZ black holes. United States. doi:10.1103/PHYSREVD.83.084031.
Akbar, M, Quevedo, H, ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma, Saifullah, K, Sanchez, A, Taj, S, and ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma. Fri . "Thermodynamic geometry of charged rotating BTZ black holes". United States. doi:10.1103/PHYSREVD.83.084031.
@article{osti_21541497,
title = {Thermodynamic geometry of charged rotating BTZ black holes},
author = {Akbar, M and Quevedo, H and ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma and Saifullah, K and Sanchez, A and Taj, S and ICRANet, Dipartimento di Fisica, Universita di Roma La Sapienza, I-00185 Roma},
abstractNote = {We study the thermodynamics and the thermodynamic geometries of charged rotating Banados-Teitelboim-Zanelli black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic geometries and the recently developed formalism of geometrothermodynamics. Considering the behavior of the heat capacity and the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot describe completely the thermodynamics of these black holes and of their limiting case of vanishing electric charge. In contrast, the Legendre invariance imposed on the metric in geometrothermodynamics allows one to describe the charged rotating Banados-Teitelboim-Zanelli black holes and their limiting cases in a consistent and invariant manner.},
doi = {10.1103/PHYSREVD.83.084031},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 83,
place = {United States},
year = {2011},
month = {4}
}