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.
Highlights
Departamento de Ingenierıa en Telecomunicaciones (GDTyPE, GAIyANN) and Instituto Balseiro (UNCUYO), Centro Atómico Bariloche, Av
A typical black hole solution in a gravitational theory is characterized by an event horizon that surrounds a geometrical singularity
In the context of General Relativity (GR), one possible way to tackle the study of gravity in the strong curvature regime near black hole singularities, is either to postulate some sort of maximum curvature space replacing the innermost region of the black hole [7,8,9,10,11,12,13], or by adding a matter content which makes gravity respond in a repulsive way in that regime [15]
Summary
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. 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
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
