Logarthmic Corrections to the entropy of Hairy black hole in (2 + 1) dimension gravity Journal of Physics: Conference Series

Logarthmic Corrections to the entropy of Hairy black hole in (2 + 1) dimension gravity Journal of Physics: Conference Series

Abstract The entropy recives the logarthanmic corrections in the black hole due to the quantum fluctuation close to the horizon. We study these logarithmic corrections of entropy for hairy BTZ black hole. By applying the WKB approximation calculation of the states is being done which is used to dete...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-06, Vol.1947 (1), p.12047
Main Authors: Singh, B K, Singh, R P
Format: Article
Language:eng
Subjects:
Black holes
Entropy
Free energy
Gravitational constant
Mathematical analysis
Quantum mechanics
Scalars
Online Access:Get full text
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Summary:Abstract The entropy recives the logarthanmic corrections in the black hole due to the quantum fluctuation close to the horizon. We study these logarithmic corrections of entropy for hairy BTZ black hole. By applying the WKB approximation calculation of the states is being done which is used to determine free energy of the scalar field. It is seen that the entropy and the free energy are diverging logarithmically in both cut off parameters and these divergences can be engrossed in the renormalized equation of the gravitational constant.
ISSN:1742-6588
1742-6596