THERMODYNAMICS OF CHARGED ADS BLACK HOLES IN RAINBOW GRAVITY

Abstract

The thermodynamic properties of charged Adds black holes are studied in this article in terms of rainbow gravity. The distorted temperature is determined by applying the Heisenberg Uncertainty Principle and the modified dispersion relation. Furthermore, we determine the charge's heat capacity and examine its thermal stability within the framework of rainbow gravity. Additionally, we deduce the pressure from the cosmological constant and study the critical dynamics of the liquid-gas system with an expanding phase space (P + U), where the black hole charge remains constant. A phase transition is also indicated by the unique swallow tail feature of the Gibbs function, which is revealed by a study of the function. In addition, we find that with a given mass of the test particle a black hole with a fixed charge and zero temperature can have an indefinitely rising heat capacity.