Exploring regular black holes within the framework of the TFD formalism

TL;DR

This paper investigates the thermodynamic properties of regular black holes using the Thermo Field Dynamics formalism, focusing on the Stefan-Boltzmann law and Casimir effect, and compares results with Schwarzschild black holes.

Contribution

It introduces the application of TFD formalism to regular black holes, analyzing their thermodynamic behavior and quantum effects in a novel way.

Findings

Regular black holes exhibit distinct thermodynamic properties compared to Schwarzschild black holes.

The Stefan-Boltzmann law and Casimir effect are characterized within the TFD framework for these black holes.

Results highlight differences in quantum effects between regular and singular black hole solutions.

Abstract

In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the Thermo Field Dynamics (TFD) formalism and its topological structure, the corresponding Stefan-Boltzmann law and Casimir effect are investigated. The results for the regular black hole are compared with those obtained for the Schwarzschild black hole.