Phase transition and entropic force in Reissner-Nordstr\"om-de Sitter spacetime

TL;DR

This paper investigates the thermodynamic phase transitions of Reissner-Nordström-de Sitter black holes, revealing a potential entropic force between horizons that could explain cosmic acceleration.

Contribution

It introduces a novel analysis of horizon interactions in RN-dS spacetime, linking black hole thermodynamics to cosmic acceleration mechanisms.

Findings

RN-dS black holes undergo phase transitions under specific conditions.

Numerical solutions describe the interaction force between black hole and cosmological horizons.

The horizon interaction force may explain the universe's accelerating expansion.

Abstract

In this paper, thermodynamic properties of the Reissner-Nordstr\"om-de Sitter (RN-dS) black hole have been studied on the basis of the correlation between the black hole and cosmological horizons. It is found that the RN-dS black hole experiences a phase transition, when its state parameters satisfy certain conditions. From the analysis of the interaction between two horizons in RN-dS spacetime, we get the numerical solution of the interaction between two horizons. It makes us to realize the force between the black hole and cosmological horizons, which can be regarded as a candidate to explain our accelerating expansion universe. That provides a new window to explore the physical mechanism of the cosmic accelerating expansion.