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The regular black hole in four dimensional Born–Infeld gravity

Böhmer, CG; Fiorini, F; (2019) The regular black hole in four dimensional Born–Infeld gravity. Classical and Quantum Gravity , 36 (12) , Article 12LT01. 10.1088/1361-6382/ab1e8d. Green open access

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Abstract

In the context of Born–Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field region. In particular, there is a new length scale which is related to the Born–Infeld parameter . This endows the spacetime with an inner (i.e. well inside the event horizon) asymptotic region which is unattainable for observers. The central curvature singularity is replaced by an infinitely long cosmic string with constant curvature invariants related to . The presence of this limiting curvature spacetime renders the black hole timelike and null geodesically complete, free from the classical Schwarzschild singularity. The transition between the usual black hole interior and this maximum curvature space is achieved without introducing any kind of matter content nor topological changes.

Type: Article
Title: The regular black hole in four dimensional Born–Infeld gravity
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1361-6382/ab1e8d
Publisher version: https://doi.org/10.1088/1361-6382/ab1e8d
Language: English
Additional information: Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (http://creativecommons.org/licenses/by/3.0). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10072894
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