Overview of thermodynamic properties for Reissner-Nordstrom-de Sitter spacetime in induced phase space

TL;DR

This paper explores the thermodynamic properties and phase transitions of Reissner-Nordstrom-de Sitter black holes in an induced phase space, revealing microstructure insights and analogies to classical thermodynamic systems.

Contribution

It introduces an induced phase space framework for RN-dS spacetime, analyzing phase transitions and microstructure, which is a novel approach in black hole thermodynamics.

Findings

Identification of phase transition between high and low potential black hole phases.

Observation of Joule-Thomson expansion behavior in RN-dS spacetime.

Analysis of scalar curvature to understand microstructure and phase transition nature.

Abstract

Since the black hole and cosmological horizons in the de Sitter (dS) spacetime with the Reissner-Nordstrom (RN) black hole are not independent to each other, which is caused by the gravitational effect, the interplay between two horizons should be considered. Based on this, by introducing the interactive entropy the RN-dS spacetime is analogous to a thermodynamic system with various thermodynamic quantities, in which the thermodynamic laws still hold on. In our work, the thermodynamic properties of the RN-dS spacetime are mapped out in the induced phase space, which are similar to that in AdS black holes. The phase transition of the RN-dS spacetime between the high-potential and the low-potential black hole phases is observed. Compared with an ordinary thermodynamic system, the similar behaviors about the Joule-Thomson expansion and the critical exponents are also checked out. Finally, the scalar curvature of two existent phases are presented to reveal the underlying microstructure and nature of phase transition in the RN-dS spacetime, which opens a new window to investigate the dS spacetime with black holes from a observational perspective.