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200 papers

In a class of renormalizable three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field $B$. The true ground state resembles that of the quantum Hall effect. An…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

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

We obtain exact expressions for the quasinormal modes (QNMs) of the massive scalar, fermionic and vector perturbations around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We find that the Lorentz symmetry breaking (LSB)…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Fangli Quan , Zhong-Wu Xia , Rui Ding , Qiyuan Pan , Jiliang Jing

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 have studied the quasinormal modes (QNMs) of a slowly rotating black hole with Lorentz-violating parameter in Einstein-bumblebee gravity. We analyse the slow rotation approximation of the rotating black hole in the Einstein-bumblebee…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Wentao Liu , Xiongjun Fang , Jiliang Jing , Jieci Wang

This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Hao Hu , Guoxiong Zhu

Bumblebee gravity is one of the simplest gravity theories with spontaneous Lorentz symmetry breaking. Since we know a rotating black hole solution in bumblebee gravity, we can potentially test this model with the available astrophysical…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Jiale Gu , Shafqat Riaz , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi

We re-derive an exact analytic three-parameter expressions for the non-rotating metric, describing a Taub-NUT-like black hole (BH), and its associated bumblebee field that are solutions to the Einstein-bumblebee gravity. We construct a…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Mustapha Azreg-Aïnou , Yassine Sekhmani

The metric-affine bumblebee model in the presence of fermionic matter minimally coupled to the connection is studied. We show that the model admits an Einstein frame representation in which the matter sector is described by a non-minimal…

High Energy Physics - Theory · Physics 2022-07-13 Adrià Delhom , T. Mariz , J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , P. J. Porfirio

We consider the metric-affine formulation of bumblebee gravity, derive the field equations, and show that the connection can be written as Levi-Civita of a disformally related metric in which the bumblebee field determines the disformal…

High Energy Physics - Theory · Physics 2022-02-01 Adrià Delhom , J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , Paulo. J. Porfírio

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

As a vector-tensor theory including nonminimal coupling between the Ricci tensor and a vector field, the bumblebee gravity is a potential theory to test Lorentz symmetry violation. Recently, a new class of numerical spherical black holes in…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Zhan-Feng Mai , Rui Xu , Dicong Liang , Lijing Shao

We study the spontaneous Lorentz symmetry breaking in a field theoretical model in (2+1)-dimension, inspired by string theory. This model is a gauge theory of an anti-symmetric tensor field and a vector field (photon). The Nambu-Goldstone…

High Energy Physics - Theory · Physics 2009-11-07 Kiyoshi Higashijima , Naoto Yokoi

Within the framework of the spontaneous Lorentz symmetry breaking, we consider a metric--affine generalization of the gravitational sector of the Standard--Model Extension (SME), including the Lorentz--violating (LV) coefficients $u$ and…

General Relativity and Quantum Cosmology · Physics 2024-07-03 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

This study demonstrates that the common practice of determining spontaneous Lorentz violation via the minimum of a Lagrangian potential is generally incorrect. By analyzing the Hamiltonian structure and constraints of vector fields, we show…

High Energy Physics - Phenomenology · Physics 2026-04-15 Jie Zhu , Hao Li , Zhi Xiao

In this work, we calculate the quasi-normal frequencies from a bumblebee traversable wormhole. The bumblebee wormhole model is based on the bumblebee gravity, which exhibits a spontaneous Lorentz symmetry breaking. Supporting by the Lorentz…

General Relativity and Quantum Cosmology · Physics 2019-05-22 R. Oliveira , D. M. Dantas , Victor Santos , C. A. S. Almeida

The study of neutrino pair annihilation into electron-positron pairs ($\nu{\bar \nu}\to e^-e^+$) is astrophysically well-motivated because it is a possible powering mechanism for the gamma-ray bursts (GRBs). In this paper, we estimate the…

High Energy Physics - Phenomenology · Physics 2023-03-23 Mohsen Khodadi , Gaetano Lambiase , Leonardo Mastrototaro

Radiative corrections arising from Lorentz violation in the fermion sector induce a nonzero amplitude for vacuum photon splitting. At one loop, the on-shell amplitude acquires both CPT-even and CPT-odd contributions forbidden in…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Austin Pickering

We construct charged black hole solutions in bumblebee gravity coupled to a general class of nonlinear electrodynamics (NLED) using an auxiliary Maxwell-scalar formalism. The norm-fixed radial configuration of the bumblebee vector makes the…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Zhi-Chao Li , H. Lu

Extreme mass-ratio inspirals (EMRIs), with their long-lived and highly relativistic orbital evolution, can probe strong-field spacetime geometry and provide an important means to test general relativity. In this work, we investigate EMRI…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Sheng Long , Zhong-wu Xia , Huajie Gong , Zhoujian Cao , Qiyuan Pan , Jiliang Jing