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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

Recently, theoretical studies on the bumblebee gravity model, a nonminimally-coupled vector-tensor theory that violates the Lorentz symmetry, have flourished, with a simultaneous increase in the utilization of observations to impose…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Peixiang Ji , Zhuhai Li , Lirui Yang , Rui Xu , Zexin Hu , Lijing Shao

Gravitational wave solutions with spontaneous Lorentz symmetry breaking are studied. This breaking is triggered by a vector field, known as the bumblebee field. A brief analysis of the main consequences of this symmetry breaking on…

High Energy Physics - Theory · Physics 2018-12-12 Kevin M. Amarilo , Mapse Barroso F. Filho , Roberto V. Maluf

Einstein-bumblebee gravity, as a class of massive non-minimally coupled vector-tensor theories, provides a useful framework for constraining Lorentz symmetry breaking through astrophysical observations, largely due to the existence of exact…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Zhe Luo , Shoulong Li , Hongwei Yu

In this paper, we study the particle dynamics, shadow, and optical appearance of charged black holes (BHs) in bumblebee gravity. Firstly, we find that the Lorentz-violation parameter l and charge parameter Q have opposite effects on the…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Mou Xu , Jianbo Lu , Ruonan Li , Yu Liu , Shu-Min Wu

In this paper, we investigate the photon orbits around a Kerr-like black hole in Einstein-Bumblebee gravity, where Lorentz symmetry is spontaneously broken. By solving the Hamilton-Jacobi equation, we derive a sixth-order polynomial that…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Shi-Yu Li , Song-Shan Luo , Zhong-Wen Feng

We investigate the static spherically symmetric vacuum solutions in a generalized bumblebee gravity model characterized by non-minimal couplings $B^2 R$ and $B^\mu B^\nu R_{\mu\nu}$. We demonstrate that the variation of the action and the…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Jie Zhu , Hao Li

We present a comprehensive analysis of the thermodynamic and optical properties of the Bumblebee Kerr-Newman-Anti-de Sitter (AdS) black hole, a rotating and charged configuration arising in Lorentz symmetry-violating (LSV) gravity. The…

General Relativity and Quantum Cosmology · Physics 2025-12-23 H. Hassanabadi , A. Guvendi , F. Kafikang , T. Sathiyaraj , S. Zare

In this work, we investigate the quantum and radiative properties of a recently proposed static bumblebee black hole arising from a general Lorentz-violating vacuum configuration. The analysis begins with the geometric structure of the…

General Relativity and Quantum Cosmology · Physics 2025-12-10 N. Heidari , A. A. Araújo Filho

We study electrically charged, slowly rotating black hole solutions in Einstein-Bumblebee gravity coupled to the traceless (conformal) ModMax nonlinear electrodynamics. By adopting a quadratic bumblebee potential that fixes the vacuum…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yassine Sekhmani , Wentao Liu , Weike Deng , Kuantay Boshkayev

This work aims to study the radiative corrections in a vector model with spontaneous Lorentz symmetry violation, known in the literature as the bumblebee model. We consider such a model with self-interaction quadratic smooth potential…

High Energy Physics - Theory · Physics 2023-09-20 Fernando M. Belchior , Roberto V. Maluf

In this work, we investigate the scattering and absorption of spin 0 particles for electrically charged black holes in two gravity models with spontaneous Lorentz symmetry breaking. The first one is the so-called bumblebee model that…

General Relativity and Quantum Cosmology · Physics 2026-05-19 F. M. Belchior

The Bumblebee Model of spontaneous Lorentz symmetry breaking is explored in a cosmological context, considering a single non-zero time component for the vector field. The relevant dynamic equations for the evolution of the Universe are…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Diogo Capelo , Jorge Páramos

This work explores various manifestations of bumblebee gravity within the metric-affine formalism. We investigate the impact of the Lorentz violation parameter, denoted as $X$, on the modification of the Hawking temperature. Our…

General Relativity and Quantum Cosmology · Physics 2024-02-01 A. A. Araújo Filho , H. Hassanabadi , N. Heidari , J. Kríz , S. Zare

This paper investigates a new black hole solution within the framework of bumblebee gravity, incorporating non-commutative corrections parameterized by $\Theta$ and implemented through the Moyal twist $\partial_r \wedge \partial_\theta$.…

General Relativity and Quantum Cosmology · Physics 2026-04-17 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi , Francisco S. N. Lobo

The breakdown of Lorentz invariance, a potential signature of quantum gravity, offers a window into physics beyond general relativity. We investigate how such a violation, embodied by the Einstein-Bumblebee black hole spacetime, influences…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Yangchun Tang , Zhilong Liu , Wentao Liu , Jieci Wang

By keeping the cosmological principle i.e., an isotropic and homogeneous universe, we consider the cosmology of a vector-tensor theory of gravitation known as the \textit{bumblebee} model. In this model a single Lorentz-violating timelike…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Mohsen Khodadi , Gaetano Lambiase , Ahmad Sheykhi

We investigate the critical behavior of Lifshitz black holes in Einstein-dilaton gravity in the context of spontaneous Lorentz symmetry breaking. Considering the effects of both the bumblebee vacuum expectation value (VEV) and the…

General Relativity and Quantum Cosmology · Physics 2023-09-15 L. A. Lessa , J. E. G. Silva

We analytically study the quasinormal modes of a scalar perturbation around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We observe that the Lorentz symmetry breaking parameter imprints only in the imaginary parts of…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Chengjia Chen , Qiyuan Pan , Jiliang Jing

We study the gravitation effects on a static and spherically symmetric spacetime 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…

General Relativity and Quantum Cosmology · Physics 2020-06-02 L. A. Lessa , J. E. G. Silva , R. V. Maluf , C. A. S. Almeida