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arXiv · 2010.05298

Traversable wormhole solution with a background Kalb-Ramond field

L. A. Lessa·R. Oliveira·J. E. G. Silva·C. A. S. Almeida
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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.

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L. A. Lessa, R. Oliveira, J. E. G. Silva, C. A. S. Almeida. 2020-10-11. Traversable wormhole solution with a background Kalb-Ramond field. https://doi.org/10.1016/j.aop.2021.168604

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