6533b857fe1ef96bd12b45ee

RESEARCH PRODUCT

Nonlinear σ -models in the Eddington-inspired Born-Infeld gravity

J. R. NascimentoP. J. PorfírioP. J. PorfírioA. R. SoaresGonzalo J. OlmoA. Yu. Petrov

subject

High Energy Physics - TheoryPhysicsGravity (chemistry)Geodesic010308 nuclear & particles physicsCharge (physics)Kinetic term01 natural sciencesGeneral Relativity and Quantum CosmologyNonlinear systemQuadratic equationCompleteness (order theory)0103 physical sciencesWormhole010306 general physicsMathematical physics

description

In this paper we consider two different nonlinear $\sigma$-models minimally coupled to Eddington-inspired Born-Infeld gravity. We show that the resultant geometries represent minimal modifications with respect to those found in GR, though with important physical consequences. In particular, wormhole structures always arise, though this does not guarantee by itself the geodesic completeness of those space-times. In one of the models, quadratic in the canonical kinetic term, we identify a subset of solutions which are regular everywhere and are geodesically complete. We discuss characteristic features of these solutions and their dependence on the relationship between mass and global charge.

https://doi.org/10.1103/physrevd.101.064043