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Related papers: Static neutral black holes in Kalb-Ramond gravity

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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

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

We investigate static, spherically symmetric black hole spacetimes induced by the spontaneous Lorentz--symmetry breaking of a Kalb--Ramond (KR) two--form field, non--minimally coupled to gravity, coexisting with an anisotropic fluid. By…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Y. Sekhmani , A. Al-Badawi , Mohsen Fathi , A. Vachher , Sushant G. Ghosh

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

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

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

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

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

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

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

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

In this paper, we study the global behavior of solutions to the spherically symmetric coupled Einstein-Klein-Gordon (EKG) system in the presence of a negative cosmological constant. We prove that the Schwarzschild-AdS spacetimes (the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Gustav Holzegel , Jacques Smulevici

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

Lorentz invariance violation (LIV) is a topic of significant interest in quantum gravity and in extensions of the Standard Model of particle physics. Recently, new classes of black hole solutions have been proposed, involving vector fields…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Syed Masood

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

While cubic Quasi-topological gravity is unique, there is a family of quartic Quasi-topological gravities in five dimensions. These theories are defined by leading to a first order equation on spherically symmetric spacetimes, resembling…

High Energy Physics - Theory · Physics 2021-03-10 Octavio Fierro , Nicolas Mora , Julio Oliva

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

General Relativity and Quantum Cosmology · Physics 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos

We investigate quasinormal modes (QNMs) of scalar, electromagnetic, and axial gravitational perturbations in slowly rotating Kalb-Ramond (KR) black holes, where an antisymmetric tensor field induces spontaneous Lorentz symmetry breaking.…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Weike Deng , Wentao Liu , Kui Xiao , Jiliang Jing

We present an exact black hole solution in anti-de Sitter (AdS) spacetime with a Kalb-Ramond field coupled to nonlinear electrodynamics (NLED), characterized by mass, magnetic monopole charge, and Lorentz-violating parameters. The geometry…

General Relativity and Quantum Cosmology · Physics 2026-05-08 D. V. Singh , S. Upadhyay , P. Paul , K. Myrzakulov

We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $\Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc
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