Traversable wormhole solution with a background Kalb-Ramond field

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

Traversable wormhole solution with a background Kalb-Ramond field

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arxiv 2010.05298 v1 pith:PUSCXL7N submitted 2020-10-11 gr-qc hep-th

L. A. Lessa , R. Oliveira , J. E. G. Silva , C. A. S. Almeida This is my paper · ORCID

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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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Black hole with global monopole charge in self-interacting Kalb-Ramond field
gr-qc 2025-01 reject novelty 5.0 of 10

A black hole solution combining a Kalb-Ramond field and a global monopole is presented, but the claimed solar system constraints on its parameters are inconsistent with the derived formulas.

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