https://doi.org/10.1140/epjp/s13360-026-07451-9
Regular Article
Wormholes in Lorentz-violating gravity
1
Programa de Pós-graduação em Física, Universidade Federal do Maranhão, Campus Universitário do Bacanga, 65080-805, São Luís, MA, Brazil
2
Coordenação do Curso de Física Bacharelado, Universidade Federal do Maranhão, Campus Universitário do Bacanga, 65080-805, São Luís, Maranhão, Brazil
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
6
October
2025
Accepted:
13
February
2026
Published online:
11
March
2026
Abstract
We investigate the possibility of obtaining traversable wormholes supported by real 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.
© The Author(s) 2026
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
