Heat engine efficiency and thermodynamical fluctuations of quantum Oppenheimer–Snyder anti-de Sitter spacetime

Abstract

This research paper conducts a comprehensive analysis of the thermodynamic features of quantum Oppenheimer–Snyder-AdS black holes, highlighting the effects of Joule–Thomson expansion and higher-order thermal fluctuations. We examine the metric function to investigate the crucial influence of the quantum factor on the determination of the event horizon radius and the overall spacetime geometry. An extensive analysis of the Joule–Thomson coefficients elucidates the intricate gas dynamics near black holes, revealing specific cooling and heating regions. Our findings emphasize the significance of isenthalpic curves in comprehending the energy dynamics related to these occurrences. Furthermore, we examine important thermodynamic functions, like corrected entropy, enthalpy, Helmholtz and Gibbs free energies, internal energy and specific heat capacity. Our examination of corrected entropy demonstrates significant peaks and troughs relative to the radius of the event horizon, substantiating the complex correlation between black hole mass and quantum parameter. The Helmholtz free energy demonstrates considerable oscillations affected by the quantum parameter, but the internal energy indicates enormous energy buildup with an increase in horizon radius. Significant variations in enthalpy and Gibbs free energy are also observed, signifying changes in thermodynamic stability when mass and quantum parameters fluctuate. The specific heat analysis reveals intricate oscillations, indicating critical phase transitions and the thermodynamic stability of the system. These findings underscore the imperative of including quantum effects in black hole thermodynamics, therefore deepening our comprehension of the intricate connection between quantum physics and gravitational events.