PT Journal
AU Bazeia, D
   Losano, L
   Olmo, GJ
   Rubiera-Garcia, D
TI Geodesically complete BTZ-type solutions of 2+1 Born-Infeld gravity
SO Classical and Quantum Gravity
JI Class. Quantum Gravity
PY 2017
BP 045006
EP 21pp
VL 34
IS 4
DI 10.1088/1361-6382/aa56f5
LA English
DE Born-Infeld gravity; BTZ; wormholes; nonsingular solutions; 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.
ER