6533b7d5fe1ef96bd1265316
RESEARCH PRODUCT
Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
Gonzalo J. OlmoGonzalo J. OlmoDiego Rubiera-garciaD. BazeiaL. Losanosubject
High Energy Physics - TheoryPhysicsPhysics and Astronomy (miscellaneous)010308 nuclear & particles physicsGeneral relativityDegrees of freedom (physics and chemistry)FOS: Physical sciencesCharge (physics)General Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyConnection (mathematics)General Relativity and Quantum CosmologySingularityHigh Energy Physics - Theory (hep-th)Born–Infeld model0103 physical sciencesHorizon (general relativity)Wormhole010306 general physicsMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-09-19 |