Effects of Thermal Fluctuations on the Thermodynamics of Modified Hayward Black Hole

TL;DR

This paper examines how thermal fluctuations influence the thermodynamic properties and stability of a modified Hayward black hole, revealing that stability persists beyond a critical horizon size despite corrections.

Contribution

It introduces correction terms for thermodynamic quantities due to thermal fluctuations and analyzes their impact on the stability and phase transitions of the black hole.

Findings

Thermal fluctuations produce correction terms in entropy, pressure, and energy.

The black hole remains stable when the event horizon exceeds a critical size.

Thermodynamic phase transitions are affected by these fluctuation corrections.

Abstract

In this work, we analyze the effects of thermal fluctuations on the thermodynamics of a modified Hayward black hole. These thermal fluctuations will produce correction terms for various thermodynamic quantities like entropy, pressure, inner energy and specific heats. We also investigate the effect of these correction terms on the first law of thermodynamics. Finally, we study the phase transition for the modified Hayward black hole. It is demonstrated that the modified Hayward black hole is stable even after the thermal fluctuations are taken into account, as long as the event horizon is larger than a certain critical value.