%0 Journal Article %T Geodesically complete BTZ-type solutions of 2+1 Born-Infeld gravity %A Bazeia, D. %A Losano, L. %A Olmo, G. J. %A Rubiera-Garcia, D. %J Classical and Quantum Gravity %D 2017 %V 34 %N 4 %I Iop Publishing Ltd %@ 0264-9381 %G English %F Bazeia_etal2017 %O WOS:000395398800002 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3013), last updated on Fri, 07 Apr 2017 10:00:57 +0000 %X We study Born-Infeld gravity coupled to a static, non-rotating 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. %K Born-Infeld gravity %K BTZ %K wormholes %K nonsingular solutions %K geodesic completeness %R 10.1088/1361-6382/aa56f5 %U http://arxiv.org/abs/1609.05827 %U https://doi.org/10.1088/1361-6382/aa56f5 %P 045006-21pp