Stability and criticality behaviors of accelerating charged AdS black holes in rainbow gravity

Abstract

In this paper, we investigate the thermodynamical properties of accelerated charged Anti-de Sitter black holes in the context of rainbow gravity. Concretely, we compute the corresponding quantities needed to study the thermal stability and the critical behaviors including the phase transitions. Linking the acceleration parameter A and the horizon radius [Formula: see text] via a constant parameter a, we discuss the P–V criticality behaviors by calculating the critical pressure [Formula: see text], the critical temperature [Formula: see text] and the critical specific volume [Formula: see text] in terms of a and the rainbow gravity parameter [Formula: see text]. As a result, we find that the ratio [Formula: see text] is an universal number with respect to the charge. In small limits of the external black hole parameters, we recover the Van der Waals fluid behaviors. After that, we examine the Joule–Thomson expansion effects for such black holes. We observe that the similarities and the differences with Van der Waals fluids depend on the region parameters.