Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

TL;DR

This paper investigates how quantum corrections influence the phase transitions and efficiency of Schwarzschild black holes surrounded by perfect fluids, revealing new critical behaviors and thermodynamic properties.

Contribution

It introduces the analysis of quantum corrections on black hole phase transitions and heat engine efficiency in the presence of surrounding perfect fluids.

Findings

Quantum corrections induce first and second order phase transitions.

The efficiency of black hole heat engines is affected by quantum effects.

Different surrounding fluids alter the thermodynamic behavior of the black hole.

Abstract

We study some properties of the extended phase space of a quantum-corrected Schwarzschild black hole surrounded by a perfect fluid. In particular we demonstrate that, due to the quantum correction, there exist first and second order phase transitions for a certain range of the state parameter of the perfect fluid, and we explicitly analyze some cases. Besides that, we describe the efficiency of this system as a heat engine and the effect of quantum corrections for different surrounding fluids.