BTZ gems inside regular Born-Infeld black holes

TL;DR

This paper explores regular Born-Infeld black holes, revealing an interior structure akin to BTZ black holes with no singularity, connecting Minkowski space externally and AdS space internally.

Contribution

It demonstrates that Born-Infeld black holes have an interior described by a BTZ-like metric and connects this to their exterior Schwarzschild solution, showing a non-singular, smooth spacetime.

Findings

Interior resembles BTZ black hole with no singularity

Exterior approximates Schwarzschild solution for larger masses

Spacetime connects Minkowski and AdS spaces

Abstract

The regular black hole solution arising as a spherically symmetric vacuum solution of Born-Infeld gravity possesses an asymptotic interior structure which is very well described by a four dimensional generalization of the non-rotating BTZ metric. According to this picture no singularity exists, and instead, infalling observers experience a constant curvature manifold as they travel towards future null infinity. This is characterized by the BTZ event horizon. The exterior structure of the black hole is also studied, and it is shown that it corresponds to the Schwarzschild solution provided the black hole mass is not too small. In this way, the regular black hole state can be seen as a spacetime which connects two constant curvature asymptotic spaces, namely, the flat Minkowski spacetime in the outside region, and the locally AdS constant negative curvature one characterizing the BTZ-like asymptotic interior.