THERMODYNAMICS OF BLACK HOLES IN MODIFIED GRAVITY THEORIE

Abstract

The study of black hole thermodynamics within the framework of modified gravity theories has garnered significant interest as a window into quantum gravity and cosmological evolution. Unlike classical general relativity, modified theories such as f(R)f(R)f(R), Gauss-Bonnet, and Lovelock gravity alter the black hole solutions and their thermodynamic characteristics, including entropy, temperature, and stability. This paper examines the thermodynamic laws for black holes in these alternative frameworks and investigates phenomena such as phase transitions, entropy corrections, and holographic implications. Using metric-based approaches and the Wald entropy formula, we analyze the modifications to the first law of thermodynamics and the behavior of specific heat for black holes in anti-de Sitter (AdS) space. The results reveal that these modified theories can offer viable corrections at strong curvature scales, highlighting connections to the underlying quantum structure of spacetime.