Exploring regular black holes within the framework of the TFD formalism

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.

14 pages, 2 figures