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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

Real astronomical objects possess spin, yet deriving exact solutions for rotating black holes within gravitational theories is a formidable challenge. To understand the shadow of rotating black holes in Lorentz-violating spacetimes induced…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Wentao Liu , Di Wu , Jieci Wang

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

In this paper, we investigate the phenomenology of electrically charged black holes in a Lorentz-violating gravitational framework mediated by a background Kalb-Ramond (KR) antisymmetric tensor field. Employing the Gauss-Bonnet theorem in a…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Reggie C. Pantig , Ali Övgün , Ángel Rincón

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

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

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

We study a spherically symmetric spacetime made of anisotropic fluid of which radial equation of state is given by $p_1 = -\rho$. This provides analytic solutions and a good opportunity to study the static configuration of black hole plus…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Inyong Cho , Hyeong-Chan Kim

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

This paper investigates the characteristics of quasinormal modes (QNMs) of static, spherically symmetric black holes under the combined influence of spontaneous Lorentz symmetry breaking (LSB) induced by the Kalb-Ramond (KR) field and…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Zongyuan Qin , Taiyang Zhang , Qian Feng , Zheng-Wen Long

This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi

In this paper, we investigate the gravitational lensing effect for the Schwarzschild-like black hole spacetime in the background of a Kalb-Ramond (KR) field proposed in [K. Yang et. al., Phys. Rev. D 108 (2023) 124004]. The solution is…

We study spherically symmetric geometries made of anisotropic perfect fluid based on general relativity. The purpose of the work is to find and classify black hole solutions in closed spacetime. In a general setting, we find that a static…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Hyeong-Chan Kim

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working…

High Energy Physics - Theory · Physics 2017-04-05 Cecilia Bejarano , Gonzalo J. Olmo , Diego Rubiera-Garcia

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

In this paper, we investigate a generalization of Kiselev black holes by introducing a varying equation of state parameter for the anisotropic fluid surrounding the black hole. We extend this model by allowing $w$ in the expression…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Luis C. N. Santos

The Lorentz symmetry of gravity is spontaneously broken when the nonminimally coupled Kalb-Ramond field acquires a nonzero vacuum expectation value. In this work, we present exact solutions for static and spherically symmetric black holes…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Ke Yang , Yue-Zhe Chen , Zheng-Qiao Duan , Ju-Ying Zhao

The nonminimal coupling of the nonzero vacuum expectation value of the self-interacting antisymmetric Kalb-Ramond field with gravity leads to a power-law hairy black hole having a parameter $s$, which encompasses the Reissner$-$Nordstrom…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Rahul Kumar , Sushant G. Ghosh , Anzhong Wang

Einstein-Kalb-Ramond (EKR) gravity is an alternative theory in which a rank-two antisymmetric tensor field, the Kalb-Ramond field, is nonminimally coupled to gravity, potentially generating Lorentz-violating backgrounds. In this work, we…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Zhong-Xi Yu , Hong-Da Lyu , Mandula Huhe , Shoulong Li
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