Simulation and Analysis of Black Hole Thermodynamics in Modified Gravity Models

Abstract

Black hole thermodynamics has emerged as a pivotal field in understanding the fundamental laws governing gravitation and quantum mechanics. Modified gravity models, proposed as extensions or alternatives to General Relativity, offer promising frameworks to resolve anomalies observed in cosmology and astrophysics. This paper presents a comprehensive simulation and analysis of black hole thermodynamics within various modified gravity frameworks, including f(R) gravity, Gauss-Bonnet gravity, and Horava-Lifshitz gravity. Utilizing numerical methods and theoretical modeling, we investigate the temperature, entropy, heat capacity, and phase transitions of black holes under these modified theories. Our results demonstrate distinct thermodynamic behavior compared to classical General Relativity, highlighting modifications in stability conditions and critical phenomena. This study provides insights into the viability of modified gravity theories and their implications for black hole physics, potentially bridging gaps between gravitational theory and quantum field effects.