The phase transition of Rastall AdS black hole with cloud of strings and quintessence

TL;DR

This paper studies phase transitions of Rastall AdS black holes with quintessence and strings, revealing second-order transitions in four dimensions and both first and second order in five dimensions, with implications for AdS/CFT duality.

Contribution

It introduces a new black hole solution in Rastall gravity with matter fields and analyzes its phase transition behavior across dimensions.

Findings

Second-order phase transition in four dimensions.

Both first and second order transitions in five dimensions.

Confinement-deconfinement transition occurs only in five dimensions.

Abstract

In this paper, we introduce the black hole solution in Rastall theory of gravity in the presence of quintessence and the cloud of strings. Our investigations show that this model meets only second-order phase transition in four dimensions. While both the first and second order phase transitions are seen in five dimensions. Therefore, according to the AdS/CFT duality, the confinement-deconfinement phase transition only occurs in five dimensions for this model.