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Open AccessArticle

Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy

Department of Physics, Hiralal Mazumdar Memorial College For Women, Dakshineswar, Kolkata 700035, India
Universe 2019, 5(2), 57; https://doi.org/10.3390/universe5020057
Received: 15 November 2018 / Revised: 5 January 2019 / Accepted: 1 February 2019 / Published: 11 February 2019
(This article belongs to the Collection Open Questions in Black Hole Physics)
It has been shown by explicit and exact calculation that the geometric product formula i.e., area (or entropy) product formula of outer horizon ( H + ) and inner horizon ( H ) for charged accelerating black hole (BH) should neither be mass-independent nor quantized. This implies that the area (or entropy ) product is mass-independent conjecture has been broken down for charged accelerating BH. This also further implies that the mass-independent feature of the area product of H ± is not a generic feature at all. We also compute the Cosmic-Censorship-Inequality for this BH. Moreover, we compute the specific heat for this BH to determine the local thermodynamic stability. Under certain criterion, the BH shows the second order phase transition. Furthermore, we compute logarithmic corrections to the entropy for the said BH due to small statistical fluctuations around the thermal equilibrium. View Full-Text
Keywords: black hole physics; gravitation; area product; entropy product; accelerating BH black hole physics; gravitation; area product; entropy product; accelerating BH
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Pradhan, P. Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy. Universe 2019, 5, 57.

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