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In this work the Bumblebee model for spontaneous Lorentz symmetry breaking is considered in the context of spherically symmetric astrophysical bodies. A discussion of the modified equations of motion is presented and constraints on the…

Solar and Stellar Astrophysics · Physics 2014-10-23 Jorge Páramos , Gonçalo Guiomar

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

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

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 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

A self consistent effective field theory of modified gravity has recently been proposed with spontaneous breaking of local Lorentz invariance. The symmetry is broken by a vector field with the wrong-sign mass term and it has been shown to…

Astrophysics · Physics 2008-11-26 P. G. Ferreira , B. M. Gripaios , R. Saffari , T. G. Zlosnik

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

In this paper, we study the spontaneous Lorentz symmetry breaking for a four-dimensional massless four-fermion model. Our methodology is based on use of the rationalized propagator. We show that a bumblebee potential arises as a result of…

High Energy Physics - Theory · Physics 2017-10-04 J. F. Assuncao , T. Mariz , J. R. Nascimento , A. Yu. Petrov

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

The breaking of Lorentz symmetry via a dynamical mechanism, with a tensor field which takes on a non-zero expectation value in vacuum, has been a subject of significant research activity in recent years. In certain models of this type, the…

High Energy Physics - Phenomenology · Physics 2010-04-06 Michael D. Seifert

In this work, the behavior, evolution, and expansion of the universe are investigated within a Lorentz-violating framework driven by Tsallis holographic dark energy. The cosmological extension is implemented through a spontaneously…

General Relativity and Quantum Cosmology · Physics 2026-02-03 E. M. Siquieri , D. S. Cabral , A. F. Santos

The bumblebee field coupled with gravity is considered. This gravitational theory exhibits spontaneous breaking of Lorentz symmetry. The G\"{o}del-type universe is introduced and then the causality and its violation are studied. Causal and…

General Relativity and Quantum Cosmology · Physics 2020-05-20 W. D. R. Jesus , A. F. Santos

In any theory with spontaneous symmetry breaking, it is important to account for the massless Nambu-Goldstone and massive Higgs modes. In this short review, the fate of these modes is examined for the case of a bumblebee model, in which…

High Energy Physics - Theory · Physics 2017-08-23 Robert Bluhm

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

In this paper, we explore the perturbative renormalization and study the classical dynamics of the bumblebee model coupled to quadratic gravity, a theoretical setting that allows the violation of Lorentz symmetry. Such a violation arises…

High Energy Physics - Theory · Physics 2026-03-13 R. B. Alfaia , Willian Carvalho , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

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

We investigate some cosmological implications at background level of the Bumblebee model. The phase-space, the critical points and their stability are analyzed in detail applying well-established dynamical system techniques. What is more,…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Manuel Gonzalez-Espinoza , Grigorios Panotopoulos , Francisco Tello-Ortiz

We investigate how spontaneous Lorentz symmetry breaking in bumblebee gravity modifies particle dynamics, thermodynamics, and vacuum energy around a static black hole background. Starting from the optical-mechanical correspondence, we…

General Relativity and Quantum Cosmology · Physics 2026-01-13 A. A. Araújo Filho , K. E. L. de Farias , E. Passos , F. A. Brito , Ali Övgün , Hassan Hassanabadi , V. B. Bezerra , Amilcar R. Queiroz

This work belongs to the context of the standard-model extension, in which a Lorentz symmetry violation is induced by a bumblebee field as it acquires a nonzero vacuum expectation value. The mathematical formulation of a generic bumblebee…

General Relativity and Quantum Cosmology · Physics 2022-07-19 F. P. Poulis , M. A. C. Soares

This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the…

High Energy Physics - Theory · Physics 2024-12-09 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio
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