TY  - JOUR
AU  - Bazeia, D.
AU  - Losano, L.
AU  - Olmo, G. J.
AU  - Rubiera-Garcia, D.
PY  - 2017
DA  - 2017//
TI  - Geodesically complete BTZ-type solutions of 2+1 Born-Infeld gravity
T2  - Class. Quantum Gravity
JO  - Classical and Quantum Gravity
SP  - 045006
EP  - 21pp
VL  - 34
IS  - 4
PB  - Iop Publishing Ltd
KW  - Born-Infeld gravity
KW  - BTZ
KW  - wormholes
KW  - nonsingular solutions
KW  - geodesic completeness
AB  - 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.
SN  - 0264-9381
UR  - http://arxiv.org/abs/1609.05827
UR  - https://doi.org/10.1088/1361-6382/aa56f5
DO  - 10.1088/1361-6382/aa56f5
LA  - English
N1  - WOS:000395398800002
ID  - Bazeia_etal2017
ER  -