New models of d-dimensional black holes without inner horizon and with an integrable singularity

TL;DR

This paper introduces a new d-dimensional black hole model with no inner horizon and an integrable singularity, allowing for complete evaporation and satisfying energy conditions, differing from traditional regular black holes.

Contribution

The authors propose a novel black hole model with localized matter sources that eliminates the inner horizon and features an integrable singularity, enabling complete evaporation and distinct entropy corrections.

Findings

No inner horizon in the new model.

Complete evaporation possible without remnants.

Linear correction to the area law of entropy.

Abstract

Theoretically, it has been proposed that objects traveling radially along regular black holes (RBHs) would not be destroyed because of finite tidal forces and the absence of a singularity. However, the matter source allows the creation of an inner horizon linked to an unstable de Sitter core due to mass inflation instability. This inner horizon also gives rise to the appearance of a remnant, inhibiting complete evaporation. We introduce here a $d$-dimensional black hole model with Localized Sources of Matter (LSM), characterized by the absence of an inner horizon and featuring a central integrable singularity instead of an unstable de Sitter core. In our model, any object tracing a radial and timelike world-line would not be crushed by the singularity. This is attributed to finite tidal forces, the extendability of radial geodesics, and the weak nature of the singularity. Our LSM model enables the potential complete evaporation down to $r_h=0$ without forming a remnant. In higher dimensions, complete evaporation occurs through a phase transition, which could occur at Planck scales and be speculatively driven by the Generalized Uncertainty Principle (GUP). Unlike RBHs, our model satisfies the energy conditions. We demonstrate a linear correction to the conventional area law of entropy, distinct from the RBH's correction. Additionally, we investigate the stability of the solutions through the speed of sound.