Traversable wormhole solution with a background Kalb-Ramond field
General Relativity and Quantum Cosmology
2021-10-04 v1 High Energy Physics - Theory
Abstract
We obtain a static spherically symmetric wormhole solution due to the vacuum expectation value (VEV) of a Kalb-Ramond field. The Kalb-Ramond VEV is a background tensor field which produces a local Lorentz symmetry breaking (LSB) of spacetime. Considering a non-minimal coupling between the Kalb-Ramond (VEV) and the Ricci tensor, we found an exact traversable wormhole solution sustained by matter sources with a negative isotropic pressure. The matter source satisfies the energy conditions at the throat for particular choices of the LSB parameter. Moreover, we employ the Gauss-Bonnet method to analyze the deflection angle of light in the weak limit approximation.
Keywords
Cite
@article{arxiv.2010.05298,
title = {Traversable wormhole solution with a background Kalb-Ramond field},
author = {L. A. Lessa and R. Oliveira and J. E. G. Silva and C. A. S. Almeida},
journal= {arXiv preprint arXiv:2010.05298},
year = {2021}
}
Comments
16 pages, 2 figures