An analysis of a regular black hole interior model

TL;DR

This paper examines the thermodynamical and dynamical stability of a specific regular black hole interior model, finding it to be unstable and calculating its gravitational entropy consistent with theoretical expectations.

Contribution

It provides a detailed thermodynamical analysis of the Mboyne and Kazanas regular black hole model, revealing its instability and computing its gravitational entropy based on the Weyl curvature conjecture.

Findings

The model is thermodynamically unstable.

Evidence suggests the model is dynamically unstable.

Gravitational entropy behaves as expected for this solution.

Abstract

We analyze the thermodynamical properties of the regular static and spherically symmetric black hole interior model presented by Mboyne and Kazanas. Equations for the thermodynamical quantities valid for an arbitrary density profile are deduced, and from them we show that the model is thermodynamically unstable. Evidence is also presented pointing to its dynamical instability. The gravitational entropy of this solution based on the Weyl curvature conjecture is calculated, following the recipe given by Rudjord, Gr$\varnothing$n and Sigbj$\varnothing$rn, and it is shown to have the expected behavior.