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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

The Kalb-Ramond field is a background tensor field that arises in string theory and violates local Lorentz symmetry of spacetime, upon acquiring the Vacuum Expectation Value. A non-minimal coupling between the Kalb-Ramond VEV and the Ricci…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Arya Dutta , Farook Rahaman

This paper investigates a particular type of wormhole. The wormhole solutions studied are obtained by sewing together two static, spherically symmetric, charged black-hole metrics at their horizons. The charged wormholes are in a background…

General Relativity and Quantum Cosmology · Physics 2016-02-08 Paul H. Cox , Benjamin C. Harms , Shaoqi Hou

Among the several modified/extended gravity paradigms, the concept of antisymmetric connections leading to space-time torsion can be traced back to Cartan. More recently, developments in string theory have suggested the existence of a…

General Relativity and Quantum Cosmology · Physics 2023-06-01 Parangam Goswami , Anshuman Baruah , Atri Deshamukhya

This study explores the possible formation of asymptotically flat traversable wormholes within dark matter halos under the framework of Kalb-Ramond gravity. The wormhole solutions are derived based on the King and Navarro-Frenk-White dark…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Susmita Sarkar , Nayan Sarkar

This paper investigates a particular type of wormhole. The wormholes studied are the result of sewing together two Reissner-Nordstrom-type black hole metrics at their horizons. By requiring the stress-energy tensor associated with this…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Paul H. Cox , Benjamin C. Harms

Static spherically symmetric solution in a background spacetime with torsion is derived explicitly. The torsion considered here is identified with the field strength of a second rank antisymmetric tensor field namely the Kalb-Ramond field…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Soumitra SenGupta , Saurabh Sur

Static spherically symmetric Kalb-Ramond (KR) traversable wormholes in torsioned spacetime are shown not to exist globally since torsion vanishes not only at the wormhole throat but in all spacetime points which means that all components of…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. C. Garcia de Andrade

In this study, we found a new traversable wormhole solution in the framework of a bumblebee gravity model. With these types of models, the Lorentz symmetry violation arises from the dynamics of a bumblebee vector field that is non-minimally…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Ali Övgün , Kimet Jusufi , İzzet Sakallı

This paper is devoted to compute the weak deflection angle for Kalb-Ramond traversable wormhole solution in plasma and dark matter mediums by using the method of Gibbons and Werner. To acquire our results, we evaluate Gaussian optical…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Wajiha Javed , Hafsa Irshad , Reggie C. Pantig , Ali Övgün

In recent, Kar.S et.al [ Phys Rev D 67,044005 (2003) ] have obtained static spherically symmetric solutions of the Einstein-Kalb-Ramond field equations. We have shown that their solutions, indeed, represent Wormholes.

General Relativity and Quantum Cosmology · Physics 2010-11-11 F. Rahaman , M. Kalam , A. Ghosh

In this work, we study a traversable wormhole sourced by an ideal matter fluid with an antisymmetric 2-tensor background field coupled to gravity in a scenario of spontaneously broken Lorentz symmetry. Contrary to employed in the…

General Relativity and Quantum Cosmology · Physics 2022-05-19 R. V. Maluf , C. R. Muniz

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

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 argue that a spherically symmetric traversable wormhole solution of the Einstein field equations can be supported by minimally coupled self-interacting scalar field which allows a spontaneous symmetry breaking of the field around the…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Soumya Chakrabarti , Chiranjeeb Singha

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

By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Filemon Farfan , Ricardo Garcia-Salcedo , Oscar Loaiza-Brito , Claudia Moreno , Alexander Yakhno

Properties of $n(\ge 5)$-dimensional static wormhole solutions are investigated in Einstein-Gauss-Bonnet gravity with or without a cosmological constant $\Lambda$. We assume that the spacetime has symmetries corresponding to the isometries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Maeda , Masato Nozawa

The analytic solution of the general relativity equations for spherically symmetric wormholes are given. We investigate the special case of a "traversable" wormhole i.e., one allowing the signal to pass through it. The energy-momentum…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Alexander Shatskiy , I. D. Novikov , N. S. Kardashev
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