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We study the vacuum solutions of a gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation value. Results are presented for the purely radial Lorentz symmetry breaking (LSB),…

High Energy Physics - Theory · Physics 2009-11-11 O. Bertolami , J. Paramos

We show how to find exact black hole solutions in bumblebee gravity with cosmological constant including BTZ black holes.

General Relativity and Quantum Cosmology · Physics 2023-08-11 P. Valtancoli

BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, three-dimensional gravity could have equipped us for…

High Energy Physics - Theory · Physics 2017-04-26 S. H. Hendi , S. Panahiyan , S. Upadhyay , B. Eslam Panah

A Kerr-Sen-like black hole solution results from Einstein-bumblebee gravity. It contains a Lorentz violating (LV) parameter that enters when the bumblebee field receives vacuum expectation value through a spontaneously breaking of the…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Sohan Kumar Jha , Anisur Rahaman

In this paper we obtain an exact high dimensional anti-de Sitter (AdS) black hole solution in Einstein-bumblebee gravity theory. This AdS-like black hole can only exist with a linear functional potential of the bumblebee field. We find that…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu

Lorentz-Violating (LV) scenario gets involved through a bumblebee field vector field $B_\mu$. A spontaneous symmetry breaking allows the field to acquires a vacuum expectation value that generates LV into the system. A Kerr-Sen-like…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Sohan Kumar Jha , Anisur Rahaman

We have studied stationary clouds of massive scalar fields around a rotating BTZ-like black hole in the Einstein-bumblebee gravity, by imposing the Robin type boundary conditions at the AdS boundary. We establish, by scanning the parameter…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Fangli Quan , Fengjiao Li , Qiyuan Pan , Mengjie Wang , Jiliang Jing

Recently, exact charged spherically symmetric black hole solutions within the framework of bumblebee gravity have been obtained, where the Lorentz symmetry is spontaneously broken due to the nonvanishing vacuum expectation value of the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Bo-Rui Li , Jia-Zhou Liu , Wen-Di Guo , Yu-Xiao Liu

This work investigates the influence of the Lorentz symmetry breaking in the bending angle of massive particles and light for bumblebee black hole solutions. The solutions analyzed break the Lorentz symmetry due to a non-zero vacuum…

General Relativity and Quantum Cosmology · Physics 2021-05-18 I. D. D. Carvalho , G. Alencar , W. M. Mendes , R. R. Landim

In this paper, we examine the physical consequences of a recently introduced black hole solution in bumblebee gravity [1]. The geometry is first presented and then reformulated through suitable coordinate adjustments, which make its global…

General Relativity and Quantum Cosmology · Physics 2026-04-02 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , V. B. Bezerra

The ability of bumblebee gravity models to explain dark energy, which is the phenomenon responsible for the universe's observed accelerated expansion, is one of their most significant applications. An effect that causes faster expansion can…

General Relativity and Quantum Cosmology · Physics 2023-05-19 M. Mangut , H. Gürsel , S. Kanzi , İ. Sakallı

We consider static circularly symmetric solution of three-dimensional Einstein's equations with negative cosmological constant (the BTZ black hole). The case of zero cosmological constant corresponding to the interior region of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. de Berredo-Peixoto , M. O. Katanaev

The Lorentz symmetry of gravity is spontaneously broken when the nonminimally coupled Kalb-Ramond field acquires a nonzero vacuum expectation value. In this work, we present exact solutions for static and spherically symmetric black holes…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Ke Yang , Yue-Zhe Chen , Zheng-Qiao Duan , Ju-Ying Zhao

The bumblebee model is an extension of the Einstein-Maxwell theory that allows for the spontaneous breaking of the Lorentz symmetry of the spacetime. In this paper, we study the quasinormal modes of the spherical black holes in this model…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Rui-Hui Lin , Rui Jiang , Xiang-Hua Zhai

In this work, we investigate the structure of black hole shadows in the bumblebee gravity model formulated within the metric-affine framework, which incorporates spontaneous Lorentz symmetry breaking (LSB) through a vector field $B_\mu$…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Jose R. Nascimento , Ana R. M. Oliveira , Albert Yu. Petrov , Paulo J. Porfírio , Amilcar R. Queiroz

The vacuum solutions arising from a spontaneous breaking of Lorentz symmetry due to the acquisition of a vacuum expectation value by a vector field are derived. These include the purely radial Lorentz symmetry breaking (LSB),…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Orfeu Bertolami , Jorge Paramos

The well-known BTZ black hole solution of (2+1) Einstein's gravity, in the presence of a cosmological constant, is treated both at the classical and quantum level. Classically, the imposition of the two manifest local Killing fields of the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 T. Christodoulakis , N. Dimakis , Petros A. Terzis , G. Doulis

In this study, we found a new traversable wormhole solution in the framework of a bumblebee gravity model. With these types of models, the Lorentz symmetry violation arises from the dynamics of a bumblebee vector field that is non-minimally…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Ali Övgün , Kimet Jusufi , İzzet Sakallı

In this work, we study a vector model of spontaneous spacetime-symmetry breaking coupled to gravity: the bumblebee model. The primary focus is on static spherically symmetric solutions. Complementing previous work on black hole solutions,…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Quentin G. Bailey , Hailey S. Murray , Dario T. Walter-Cardona

A vector field coming from spontaneous Lorentz violation mechanism, namely Bumblebee model is analysed in a topological framework in a $(1+2)D$ Minkowski space-time. Taking a $(1+2)D$ nonlinear Bumblebee vector matter field dynamics where…

High Energy Physics - Theory · Physics 2020-07-27 L. P. Colatto , A. L. A. Penna , W. C. Santos