Wormholes in Lorentz-violating gravity

TL;DR

This paper explores traversable wormholes supported by phantom scalar fields within Lorentz-violating gravity, revealing new solutions and properties influenced by the Lorentz violation framework and specific vacuum configurations.

Contribution

It introduces novel wormhole solutions in Lorentz-violating gravity, including Ellis-Bronnikov type and those with Rindler acceleration, highlighting the impact of Lorentz violation on wormhole properties.

Findings

Found Ellis-Bronnikov counterparts in Lorentz-violating gravity

Discovered wormholes with Rindler-type acceleration

Analyzed non-flat asymptotic behaviors of solutions

Abstract

We investigate the possibility of obtaining traversable wormholes supported by phantom scalar fields in Lorentz-violating gravity with an antisymmetric rank-2 tensor with a non-zero vacuum expectation value non-minimally coupled to the curvature tensor. This Lorentz violation framework shows to be a suitable scenario to search for wormhole solutions in the presence of Lorentz violation, since it introduces mild constraints on the areal radius. The vacuum expectation value of the antisymmetric rank-2 tensor, nonetheless, imposes constraints on the lapse function. As a consequence, under the vacuum configuration adopted, the allowed lapse functions can be either constant, linear or quadratic, depending on the self-interaction potential that drives the spontaneous breaking of the Lorentz symmetry. Thus, we find the Ellis-Bronnikov counterpart in this Lorentz-violating scenario as well as Lorentz-violating wormholes with a Rindler-type acceleration and an effective cosmological constant. Properties of these wormholes, such as their non-flat asymptotics, are investigated.