Corrections Terms for the Thermodynamics of a Black Saturn

TL;DR

This paper investigates how thermal fluctuations affect the entropy and stability of a black Saturn, deriving logarithmic correction terms and analyzing their impact on thermodynamic bounds and stability.

Contribution

It introduces a logarithmic correction to the entropy of a black Saturn due to thermal fluctuations and explores its implications for stability and parameter bounds.

Findings

Thermal fluctuations induce a logarithmic correction to black Saturn entropy.

Corrected entropy influences thermodynamic stability analysis.

Bounds on black Saturn parameters are derived considering thermal fluctuations.

Abstract

In this paper, we will analyze the effects of thermal fluctuations on the stability of a black Saturn. The entropy of the black Saturn will get corrected due to these thermal fluctuations. We will demonstrate that the correction term generated by these thermal fluctuations is a logarithmic term. Then we will use this corrected value of the entropy to obtain bounds for various parameters of the black Saturn. We will also analyze the thermodynamical stability of the black Saturn in presence of thermal fluctuations, using this corrected value of the entropy.