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arXiv · 1609.05827

Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity

D. Bazeia·L. Losano·Gonzalo J. Olmo·D. Rubiera-Garcia
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Abstract

We study Born-Infeld gravity coupled to a static, nonrotating electric field in $2+1$ dimensions and find exact analytical solutions. Two families of such solutions represent geodesically complete, and hence nonsingular, spacetimes. Another family represents a point-like charge with a singularity at the center. Despite the absence of rotation, these solutions resemble the charged, rotating BTZ solution of General Relativity but with a richer structure in terms of horizons. The nonsingular character of the first two families turn out to be attached to the emergence of a wormhole structure on their innermost region. This seems to be a generic prediction of extensions of General Relativity formulated in metric-affine (or Palatini) spaces, where metric and connection are regarded as independent degrees of freedom.

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D. Bazeia, L. Losano, Gonzalo J. Olmo, D. Rubiera-Garcia. 2017-01-07. Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity. https://doi.org/10.1088/1361-6382%2Faa56f5

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