On Einstein-non linear-Maxwell-Yukawa de-Sitter black hole thermodynamics

We investigate the thermodynamics of the Einstein-non linear-Maxwell-Yukawa black hole solution in de Sitter spacetime. After presenting the black hole solution and its horizons, we use different thermodynamical points of view to probe the phase structure of such a black hole, ranging from local, global thermodynamics to effective thermodynamical formalism with two horizons. Our analysis showed that the black hole can undergo a thermal phase transition between an unstable phase and stable phase. These results are consolidated by our proposal of generalizing effective thermodynamics to three horizons. As a remarkable byproduct, we find that the effective temperatures behave as an association of ohmic resistances in an electric circuit, which may reveal a possible analogy between the electric and thermodynamic systems. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

In this study, the thermodynamics of the Einstein-non linear-Maxwell-Yukawa black hole solution in de Sitter spacetime is investigated. Different thermodynamical points of view are used to probe the phase structure of the black hole, showing a possible thermal phase transition between unstable and stable phases. The effective temperatures of the black hole behave like ohmic resistances in an electric circuit, suggesting an analogy between electric and thermodynamic systems.