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

TL;DR

This paper investigates the thermodynamic properties of charged accelerating black holes, revealing that horizon area products are not mass-independent, analyzing cosmic censorship violations, stability, phase transitions, and logarithmic entropy corrections.

Contribution

It provides explicit calculations showing the breakdown of mass-independence in horizon area products and computes logarithmic entropy corrections for charged accelerating black holes.

Findings

Horizon area product is not mass-independent.

Cosmic censorship inequality is violated.

Black hole exhibits second order phase transition.

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 (${\cal H}^{+}$) and inner horizon (${\cal H}^{-}$) 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 ${\cal H}^{\pm}$ 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.