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- Title
Thermodynamics of higher dimensional charged black holes: nonperturbative study.
- Authors
Malekian, A.; Kokabi, K.; Pourhassan, B.
- Abstract
In this paper, we consider higher dimensional charged black holes to study nonperturbative corrected thermodynamics. This correction is dominant when the black hole size decreases due to the Hawking radiation. The nonperturbative correction on the black hole entropy is proportional to the exponential of the original entropy with a negative sign. We calculate some thermodynamics quantities such as the internal Helmholtz free energies, and obtain the effect of the exponential correction. We study the first law of thermodynamics and investigate how it satisfies. We also study the stability of the black hole through specific heat analysis and investigate the possible phase transition. We find a second-order phase transition that is interpreted as the unstable/stable phase transition. Then, we find a first-order phase transition that makes it unstable. Hence, the final stage of the Reissner–Nordström black holes may be an unstable phase, which means that black hole evaporation at the quantum scale. It may be a cause that we never find a black hole in accelerators.
- Subjects
HELMHOLTZ, Hermann von, 1821-1894; BLACK holes; FIRST-order phase transitions; HELMHOLTZ free energy; FIRST law of thermodynamics; THERMODYNAMICS; PHASE transitions
- Publication
Canadian Journal of Physics, 2024, Vol 102, Issue 4, p262
- ISSN
0008-4204
- Publication type
Article
- DOI
10.1139/cjp-2023-0129