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

Abstract

It has been shown by explicit and exact calculation that the geometric product formula i.e. horizon area (or entropy) product formula of outer horizon (${\mathcal{H}}^{+}$) and inner horizon (${\mathcal{H}}^{-}$) for charged accelerating black hole (BH) should \emph{ neither be mass-independent nor it be quantized}. This implies that the horizon area (or entropy ) product is mass-independent conjecture has been~\emph{broken down} for charged accelerating BH. This also further implies that the mass-independent feature of the area product of ${\mathcal{H}}^{\pm }$ is \emph{not} a generic feature at all. We also compute that the \emph{Cosmic-Censorship-Inequality} for this BH. Indeed it is violated for this BH. Moreover, we compute the specific heat for this BH to determine the local thermodynamic stability of this BH. 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.

Accepted in Universe,2019, Invited article

References in corpus (6)

• Thermodynamics of Accelerating Black Holes
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Radiation from accelerated black holes in an anti-de Sitter universe
• CFT Duals for Accelerating Black Holes
• Thermodynamic Product Formula for Hořava Lifshitz Black Hole

Cited by in corpus (4)

• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Effects of Non-linear Electrodynamics on Thermodynamics of Charged Black Hole
• Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole
• Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes