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Related papers: Bumblebee field in a Topological Framework

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Spontaneous breaking of local Lorentz symmetry occurs when a local vector or tensor field acquires a nonzero vacuum expectation value. The effects of such breaking are examined in the context of gravity theory. These include an associated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert Bluhm

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 have obtained an exact vacuum solution from a gravity sector contained in the minimal standard-model extension. The theoretical model assumes a Riemann spacetime coupled to the bumblebee field which is responsible for the spontaneous…

General Relativity and Quantum Cosmology · Physics 2018-05-07 R. Casana , A. Cavalcante , F. P. Poulis , E. B. Santos

BTZ black holes provide excellent frameworks for studying theories that are at the interface of classical and quantum gravity. In this paper we couple the Riemannian spacetime with the bumblebee field, in the background of massive gravity,…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Askar Ali , Khalid Saifullah

In theories where the Lorentz symmetry of gravity is spontaneously broken, a non-minimally coupled bumblebee vector field acquires a nonzero vacuum expectation value, leading to modifications of standard General Relativity (GR). In this…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Faizuddin Ahmed , Shubham Kala , Ahmad Al-Badawi

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

We constrain the parameter space of the Bumblebee model in a cosmological background and then investigate the properties of gravitational waves within the constrained parameter space. Our analysis reveals seven perturbative degrees of…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Xiao-Bin Lai , Yu-Qi Dong , Yu-Zhi Fan , Yu-Xiao Liu

In this paper, we present the exact decoupling of the full metric and bumblebee field perturbations in a Schwarzschild-like background. The coupled system reduces to four decoupled master equations, revealing in each parity sector a…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Hui-Fa Liu , Wentao Liu , Yu-Xiao Liu , Qi Su , Ding-fang Zeng

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

Considering quantum gravity within the framework of effective field theory, we investigated the consequences of spontaneous Lorentz violation for the gravitational potential. In particular, we focus our attention on the bumblebee models, in…

High Energy Physics - Theory · Physics 2013-07-03 R. V. Maluf , Victor Santos , W. T. Cruz , C. A. S. Almeida

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

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

The fate of the Nambu-Goldstone modes arising from spontaneous Lorentz violation is investigated. Using the vierbein formalism, it is shown that up to 10 Lorentz and diffeomorphism Nambu-Goldstone modes can appear and that they are…

High Energy Physics - Theory · Physics 2009-07-09 Robert Bluhm , Alan Kostelecky

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

Theories with spontaneous local Lorentz and diffeomorphism violation contain massless Nambu-Goldstone modes, which arise as field excitations in the minimum of the symmetry-breaking potential. If the shape of the potential also allows…

High Energy Physics - Theory · Physics 2008-11-26 Robert Bluhm , Shu-Hong Fung , Alan Kostelecky

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

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

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

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

The Bumblebee vector model of spontaneous Lorentz symmetry breaking (LSB) in Bianchi type I (BI) Universe to observe its effect on cosmological evolution is an interesting aspect of study in anisotropic cosmology. In this study, we have…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Pranjal Sarmah , Umananda Dev Goswami