Thermodynamic Properties of Regular Phantom Black Hole

TL;DR

This paper investigates the thermodynamical properties of Regular Phantom Black Holes across different spacetimes, revealing stability characteristics and differences from Schwarzschild black holes, especially in Anti-de Sitter backgrounds.

Contribution

It introduces a new method to relate thermodynamic variables of RPBHs considering the scale parameter and compares stability across flat, de-Sitter, and Anti-de Sitter spacetimes.

Findings

Flat background RPBH thermodynamics similar to Schwarzschild

AdS-RPBH more consistent with physical laws

Stability varies with spacetime geometry

Abstract

The Regular Phantom Black Holes (RPBH)s are of theoretical and observational importance, and some properties have been studied. In this work, we study some of the thermodynamical properties such as entropy, and temperature, ... in three asymptotically spacetimes: flat, de--Sitter (dS), and Anti-de Sitter (AdS). Many of the RPBH properties, including horizon radius, are (directly or indirectly) dependent on a scale parameter b. Due to the slightly different structure from Schwarzschild--metrics, the method to express relations between thermodynamical variables requires a new function of the scale parameter. We also imply the local and global thermodynamic stability through the Heat Capacity (HC) and Gibbs Energy (GB), respectively. The calculations and graphs show the results, in the flat background, are very similar to Schwarzschild ones. Also, some results show that the asymptotically AdS-RPBH is more compatible with physical laws than the dS and flat backgrounds.