Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity

Abstract In this paper, we study the scenario in which the matter field is an electromagnetic field nonminimally coupled to the bumblebee vector field. We present exact charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a co...

Full description

Saved in:
Bibliographic Details
Main Authors: Jia-Zhou Liu, Wen-Di Guo, Shao-Wen Wei, Yu-Xiao Liu
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13859-x
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1823861640806793216
author Jia-Zhou Liu
Wen-Di Guo
Shao-Wen Wei
Yu-Xiao Liu
author_facet Jia-Zhou Liu
Wen-Di Guo
Shao-Wen Wei
Yu-Xiao Liu
author_sort Jia-Zhou Liu
collection DOAJ
description Abstract In this paper, we study the scenario in which the matter field is an electromagnetic field nonminimally coupled to the bumblebee vector field. We present exact charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the Reissner–Nordström-like black hole and Reissner–Nordström-(anti) de Sitter-like black hole, while the stationary and axially symmetric solutions describe the Kerr–Newman-like black hole and Kerr–Newman–(anti) de Sitter-like black hole. We utilize the Hamilton–Jacobi formalism to study the shadows of the black holes. Additionally, we investigate the effect of the electric charge and Lorentz-violating parameters on the radius of the shadow reference circle and the distortion parameter. We find that the radius of the reference circle decreases with the Lorentz-violating parameter and the charge parameter, while the distortion parameter increases with the Lorentz-violating parameter and the charge parameter.
format Article
id doaj-art-5ed3c980aca14c0ebb56f144660a058a
institution Kabale University
issn 1434-6052
language English
publishDate 2025-02-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-5ed3c980aca14c0ebb56f144660a058a2025-02-09T12:51:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185211510.1140/epjc/s10052-025-13859-xCharged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravityJia-Zhou Liu0Wen-Di Guo1Shao-Wen Wei2Yu-Xiao Liu3Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory for Quantum Theory and Applications of the Ministry of Education, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou UniversityLanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory for Quantum Theory and Applications of the Ministry of Education, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou UniversityLanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory for Quantum Theory and Applications of the Ministry of Education, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou UniversityLanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory for Quantum Theory and Applications of the Ministry of Education, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou UniversityAbstract In this paper, we study the scenario in which the matter field is an electromagnetic field nonminimally coupled to the bumblebee vector field. We present exact charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the Reissner–Nordström-like black hole and Reissner–Nordström-(anti) de Sitter-like black hole, while the stationary and axially symmetric solutions describe the Kerr–Newman-like black hole and Kerr–Newman–(anti) de Sitter-like black hole. We utilize the Hamilton–Jacobi formalism to study the shadows of the black holes. Additionally, we investigate the effect of the electric charge and Lorentz-violating parameters on the radius of the shadow reference circle and the distortion parameter. We find that the radius of the reference circle decreases with the Lorentz-violating parameter and the charge parameter, while the distortion parameter increases with the Lorentz-violating parameter and the charge parameter.https://doi.org/10.1140/epjc/s10052-025-13859-x
spellingShingle Jia-Zhou Liu
Wen-Di Guo
Shao-Wen Wei
Yu-Xiao Liu
Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
European Physical Journal C: Particles and Fields
title Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
title_full Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
title_fullStr Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
title_full_unstemmed Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
title_short Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
title_sort charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
url https://doi.org/10.1140/epjc/s10052-025-13859-x
work_keys_str_mv AT jiazhouliu chargedsphericallysymmetricandslowlyrotatingchargedblackholesolutionsinbumblebeegravity
AT wendiguo chargedsphericallysymmetricandslowlyrotatingchargedblackholesolutionsinbumblebeegravity
AT shaowenwei chargedsphericallysymmetricandslowlyrotatingchargedblackholesolutionsinbumblebeegravity
AT yuxiaoliu chargedsphericallysymmetricandslowlyrotatingchargedblackholesolutionsinbumblebeegravity