Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations

TL;DR

This study explores how deformation and thermal corrections influence the thermodynamics and stability of AdS-Schwarzschild black holes, revealing their effects on phase transitions and stability regions.

Contribution

It introduces the impact of deformation parameter and thermal corrections on black hole thermodynamics, particularly on phase transitions and stability.

Findings

Higher deformation increases Hawking-Page critical temperature.

Thermal corrections mainly affect smaller black holes.

Stability regions are identified through heat capacity sign changes.

Abstract

This paper examines the thermodynamic properties and stability of deformed AdS-Schwarzschild black holes, focusing on the effects of deformation ($\alpha$) and thermal correction parameters ($\beta_1$, $\beta_2$) on phase transitions and heat capacity. The results show that higher $\alpha$ values raise the Hawking-Page critical temperature, enhancing thermal stability. Thermal corrections significantly affect smaller black holes but minimally impact larger ones, leaving second-order phase transitions unchanged. Heat capacity analysis identifies stability regions, with sign changes marking instability. These findings highlight the role of deformation and thermal corrections in black hole stability, offering insights for extending our understanding of black hole thermodynamics.