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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 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

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

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 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

We study Einstein-Gauss-Bonnet gravity coupled to a bumblebee field which leads to a spontaneous Lorentz symmetry breaking in the gravitational sector. We obtain an exact black hole solution and a cosmological solution in four dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-03 Chikun Ding , Xiongwen Chen , Xiangyun Fu

In this work, we present black hole solutions with a cosmological constant in bumblebee gravity, which provides a mechanism for the Lorentz symmetry violation by assuming a nonzero vacuum expectation value for the bumblebee field. From the…

General Relativity and Quantum Cosmology · Physics 2021-02-02 R. V. Maluf , Juliano C. S. Neves

In this paper, we derive an exact black hole spacetime metric in the Einstein-Hilbert-Bumblebee (EHB) gravity around global monopole field. We study the horizon, temperature, and the photon sphere of the black hole. Using the null geodesics…

General Relativity and Quantum Cosmology · Physics 2021-12-21 İbrahim Güllü , Ali Övgün

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

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

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

A model for spontaneous symmetry breaking using a specific form of the bumblebee model is analyzed in the context of a Schwarzschild background metric. The resulting back reaction of the symmetry-breaking field on the metric is computed to…

High Energy Physics - Phenomenology · Physics 2019-11-07 Don Colladay

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 2025-10-13 Adria Delhom , J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , Paulo. J. Porfírio

We consider the coupling of the metric-affine bumblebee gravity model to scalar matter and calculate the lower-order contributions to two-point functions of bumblebee and scalar fields in the weak gravity approximation. We also obtain the…

High Energy Physics - Theory · Physics 2024-05-30 J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , P. J. Porfirio

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 investigate non-metricity effects on electron scattering in metric-affine bumblebee gravity, where spontaneous Lorentz symmetry breaking is induced by a vector field acquiring a nonzero vacuum expectation value. Treating the affine…

General Relativity and Quantum Cosmology · Physics 2026-03-18 A. A. Araújo Filho

A Kerr-Sen-like black hole solution appears in the Einstein-bumblebee theory of gravity. The solution contains contains a Lorentz violating parameter in an explicit manner. We study the null geodesics in the background of this Kerr-Sen-like…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Sohan Kumar Jha , Sahazada Aziz , Anisur Rahaman

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

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

In the present study, we analyze the effects of violation of Lorentz symmetry for black-bounce solutions in a $k$-essence theory that has the form of a power law for the configuration $n=1/3$. We perform such analysis for a known model…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Carlos F. S. Pereira , Marcos V. de S. Silva , H. Belich , Denis C. Rodrigues , Júlio C. Fabris , Manuel E. Rodrigues