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A general covariant Einstein-Gauss-Bonnet Gravity in Four-Dimensional (4D EGB) spacetime is shown to bypass Lovelock's theorem and is free from Ostrogradsky instability. Meanwhile, the bumblebee theory is a vector-tensor theory. It extends…

General Relativity and Quantum Cosmology · Physics 2024-09-11 Misba Afrin , Sushant G. Ghosh , Anzhong Wang

The EHT observation revealed event horizon-scale images of the supermassive black holes Sgr A* and M87* and these results are consistent with the shadow of a Kerr black hole as predicted by general relativity. However, Kerr-like rotating…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Shafqat Ul Islam , Sushant G. Ghosh , Sunil D. Maharaj

We consider classical particles coupled to the quantized electromagnetic field in the background of a spatially flat Robertson-Walker universe. We find that these particles typically undergo Brownian motion and acquire a non-zero mean…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Carlos H. G. Bessa , Valdir B. Bezerra , L. H. Ford

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

Recently it has been shown that despite previous claims the cosmological constant affects light bending. In the present article we study light bending and the advance of Mercury's perihelion in the context of the Newtonian limit of…

General Relativity and Quantum Cosmology · Physics 2010-11-09 H. Miraghaei , M. Nouri-Zonoz

The theory of massive gravity possesses ambiguities when the spacetime metric evolves far from the non-dynamical fiducial metric used to define it. We explicitly construct a spherically symmetric example case where the metric evolves to a…

High Energy Physics - Theory · Physics 2013-11-28 Pierre Gratia , Wayne Hu , Mark Wyman

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

We investigate the impact of Lorentz violation on the internal structure of mini-boson stars and the resulting gravitational-wave signals from extreme-mass-ratio inspirals (EMRIs) within the framework of bumblebee gravity. Numerical…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Mao-Jiang Liu , Long-Xing Huang , Yong-Qiang Wang , Ke Yang

We analyze the nonrelativistic quantum dynamics of a single neutral spin half particle, with non-zero magnetic and electric dipole moments, moving in an external electromagnetic field in presence of Lorentz symmetry violation background.…

High Energy Physics - Theory · Physics 2007-11-08 L. R. Ribeiro , E. Passos , C. Furtado , J. R. Nascimento

In this work, a bumblebee field is adopted in order to generate cosmological anisotropies. For that purpose, we assume a Bianchi I cosmology, as the background geometry, and a bumblebee field coupled to it. Bumblebee models are examples of…

General Relativity and Quantum Cosmology · Physics 2021-10-15 R. V. Maluf , Juliano C. S. Neves

The bumblebee gravity model includes a class of vector-tensor theories of gravitation where the vector field couples to the Ricci tensor quadratically. We obtain an analytical spherical black-hole solution in this model. The solution has…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Rui Xu

We find a Kerr-like black hole solution-a rotating Bumblebee black hole (RBBH) with a Lorentz-violating parameter $\ell$ and examine the strong lensing by it. The parameter $\ell$ changes the event horizon radius and photon sphere,…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Arun Kumar , Shafqat Ul Islam , Sushant G. Ghosh

Geometric phases can manifest when a relativistic quantum particle moves cyclically along a loop in parameter space. The phase can be affected by the presence of a background field and can be accompanied by nontrivial topological features.…

High Energy Physics - Phenomenology · Physics 2025-12-02 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

We investigate some quantum features of the bumblebee electrodynamics in flat spacetimes. The bumblebee field is a vector field that leads to a spontaneous Lorentz symmetry breaking. For a smooth quadratic potential, the massless excitation…

High Energy Physics - Theory · Physics 2015-08-18 R. V. Maluf , J. E. G. Silva , C. A. S. Almeida

We investigate thick-brane solutions within the five-dimensional bumblebee gravity in the presence of a real scalar field. Specifically, we implement the Lorentz symmetry breaking scenario within this context and obtain brane-like…

High Energy Physics - Theory · Physics 2024-10-22 M. A. Marques , R. Menezes , A. Yu. Petrov , P. J. Porfírio

We study the greybody factors, quasinormal modes, and shadow of the higher dimensional de-Sitter (dS)/ anti de-Sitter (AdS) black hole spacetimes derived from the Einstein-bumblebee gravity theory within the Lorentz symmetry breaking (LSB)…

High Energy Physics - Theory · Physics 2023-08-09 Akhil Uniyal , Sara Kanzi , İzzet Sakallı

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

We investigate the strong gravitational lensing and shadow properties of the black hole in the context of bumblebee gravity, characterized by a global monopole charge $\kappa\eta^2$ and a Lorentz symmetry breaking parameter $\gamma$. We…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Bijendra Kumar Vishvakarma , Shubham Kala

Motivated by recent developments in Lorentz-violating theories of gravity, we obtain new black hole solutions within the framework of bumblebee gravity, where the bumblebee vector field possesses two independent nonzero components and…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jia-Zhou Liu , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

In modern cosmology, the discovery of the universe's accelerated expansion has significantly transformed our understanding of cosmic evolution and expansion history. The unknown properties of dark energy, the driver of this acceleration,…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Xincheng Zhu , Rui Xu , Dandan Xu