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In this work, we derive exact solutions for four-dimensional static spherically symmetric black holes and three-dimensional rotating black holes within a Lorentz-violating gravity theory. In this framework, Lorentz symmetry is spontaneously…

General Relativity and Quantum Cosmology · Physics 2025-11-20 Jia-Zhou Liu , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

In this study, we explore a static, spherically symmetric black hole solution in the context of a self-interacting Kalb-Ramond field coupled with a global monopole. By incorporating the effects of Lorentz-violating term $\ell$ and the…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Mohsen Fathi , Ali Övgün

This study investigates the consequences of Lorentz symmetry violation in the thermodynamics and gravitational lensing of charged black holes coupled to the Kalb-Ramond field. We first explore the impact of Lorentz-violating parameters on…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Mert Mangut , Huriye Gürsel , İzzet Sakallı

We study the gravitation effects on a static and spherically symmetric spacetime due to the vacuum expectation value (VEV) of a Kalb-Ramond field. The Kalb-Ramond VEV is a background tensor field which produces a local Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2020-06-02 L. A. Lessa , J. E. G. Silva , R. V. Maluf , C. A. S. Almeida

We derive the exact solutions for electrically charged black holes both in the absence and presence of a cosmological constant in the gravitational theory with Lorentz violation induced by a background Kalb-Ramond (KR) field. The…

General Relativity and Quantum Cosmology · Physics 2024-09-27 Zheng-Qiao Duan , Ju-Ying Zhao , Ke Yang

We investigate the observational signatures of a static, spherically symmetric black hole embedded in a spontaneous Kalb-Ramond (KR) background. By normalizing the solution to the physically observable mass $M_{\text{phys}}$, we demonstrate…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Nikko John Leo S. Lobos

By introducing a nonminimal coupling between the Kalb--Ramond field and the electromagnetic field, we construct an exact four-dimensional static, spherically symmetric dyonic black hole solution in Lorentz-violating gravity with a…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Yu-Xuan Lin , Jia-Zhou Liu , Yu-Xiao Liu

The Kalb-Ramond (KR) gravity theory, a modified gravity theory that nonminimally couples a KR field with a nonzero vacuum expectation value for the gravitational field, can spontaneously break the Lorentz symmetry of gravity. In a recent…

High Energy Physics - Theory · Physics 2024-09-06 Wentao Liu , Di Wu , Jieci Wang

Recently, a static spherically symmetric black hole solution was found in gravity nonminimally coupled a background Kalb-Ramond field. The Lorentz symmetry is spontaneously broken when the Kalb-Ramond field has a nonvanishing vacuum…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Wen-Di Guo , Qin Tan , Yu-Xiao Liu

Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb-Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the…

High Energy Physics - Theory · Physics 2025-02-05 Yun-Zhi Du , Huai-Fan Li , Yu-Bo Ma , Qiang Gu

With an intent to explore the interplay between the Lorentz symmetry breaking (LSB) and the presence of dark matter (DM), we obtain a static and spherically symmetric black hole (BH) solution in the background of nonminimally coupled…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Sohan Kumar Jha

We present a theoretical investigation of black hole solutions in Kalb-Ramond gravity embedded with quintessence fields. Our study examines how combined effects of Lorentz violation through the Kalb-Ramond field parameter $\eta$ and exotic…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı

In this paper, we study time-like geodesics around a spherically symmetric black hole in Kalb-Ramond (KR) gravity, characterized by the parameter $l$, which induces spontaneous Lorentz symmetry breaking. The geodesic equations and effective…

We obtain an exact Kerr-like black hole solution by solving the corresponding gravitational field equations in Einstein-bumblebee gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Chikun Ding , Changqing Liu , R. Casana , A. Cavalcante

Space-times exhibiting spontaneous Lorentz symmetry-breaking have recently attracted much attention, with Kalb-Ramond (KR) gravity providing a notable example. In this context, we examine the free-fall motion of a test particle toward an…

Lorentz-symmetry and the notion of light cones play a central role in the definition of horizons and the existence of black holes. Current observations provide strong indications that astrophysical black holes do exist in Nature. Here we…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Enrico Barausse , Thomas P. Sotiriou

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 investigate the role of Lorentz violation in the acceleration radiation produced when an atom falls into a Kalb-Ramond (KR) black hole and observe that the amplitude and an exponential (Planck-like) factor are both shaped by the…

High Energy Physics - Theory · Physics 2025-06-03 Anisur Rahaman

This study explores novel static, neutral black hole solutions within Kalb-Ramond (KR) gravity in asymptotically (anti-)de Sitter [(A)dS] spacetimes, incorporating spontaneous Lorentz symmetry breaking (LSB) via an antisymmetric tensor…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Reggie C. Pantig , Ali Övgün

Lorentz violation serves as a significant feature in many modified theories of gravity. In particular, spontaneous Lorentz violation induced by the Kalb-Ramond field has attracted considerable attention. Recently, an electrically charged…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yun-Tao Gu , Wen-Di Guo , Yu-Xiao Liu
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