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Restricted Phased Space Thermodynamics for Black Holes in Higher Dimensions and Higher Curvature Gravities.
- Source :
-
Entropy . Aug2022, Vol. 24 Issue 8, p1131-N.PAG. 23p. - Publication Year :
- 2022
-
Abstract
- The recently proposed restricted phase space thermodynamics is shown to be applicable to a large class of higher dimensional higher curvature gravity models coupled to Maxwell field, which are known as black hole scan models and are labeled by the spacetime dimension d and the highest order k of the Lanczos-Lovelock densities appearing in the action. Three typical example cases with (d , k) = (5 , 1) , (5 , 2) and (6 , 2) are chosen as example cases and studied in some detail. These cases are representatives of Einstein-Hilbert, Chern-Simons and Born-Infield like gravity models. Our study indicates that the Einstein-Hilbert and Born-Infield like gravity models have similar thermodynamic behaviors, e.g., the existence of isocharge T − S phase transitions with the same critical exponents, the existence of isovoltage T − S transitions and the Hawking-Page like transitions, and the similar high temperature asymptotic behaviors for the isocharge heat capacities, etc. However, the Chern-Simons like (5 , 2) -model behaves quite differently. Neither isocharge nor isovoltage T − S transitions could occur and no Hawking-Page like transition is allowed. This seems to indicate that the Einstein-Hilbert and Born-Infield like models belong to the same universality class while the Chern-Simons like models do not. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BLACK holes
*THERMODYNAMICS
*CURVATURE
*PHASE space
*CRITICAL exponents
Subjects
Details
- Language :
- English
- ISSN :
- 10994300
- Volume :
- 24
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Entropy
- Publication Type :
- Academic Journal
- Accession number :
- 158806898
- Full Text :
- https://doi.org/10.3390/e24081131