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In this article we deduce two new exact solutions of Einstein's equations for eternal black holes, now related to stiff matter, one `static' and another rotating (stationary like the Kerr one), thus the number of these eternal solutions…

General Relativity and Quantum Cosmology · Physics 2012-10-19 Nikolai V. Mitskievich

Within the framework of the spontaneous Lorentz symmetry breaking, we consider a metric--affine generalization of the gravitational sector of the Standard--Model Extension (SME), including the Lorentz--violating (LV) coefficients $u$ and…

General Relativity and Quantum Cosmology · Physics 2024-07-03 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

The bumblebee model is an extension of the Einstein-Maxwell theory that allows for the spontaneous breaking of the Lorentz symmetry of the spacetime. In this paper, we study the quasinormal modes of the spherical black holes in this model…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Rui-Hui Lin , Rui Jiang , Xiang-Hua Zhai

In this paper, we study the physical properties of black holes in the framework of the recently proposed Einstien-Bel-Robinson gravity. We show that interestingly the theory propagates a transverse and massive graviton on a maximally…

General Relativity and Quantum Cosmology · Physics 2024-11-12 S. N. Sajadi , Robert B. Mann , H. Sheikhahmadi , M. Khademi

The bumblebee gravity model is a vector-tensor theory of gravitation where the vector field nonminimally couples to the Ricci tensor. By investigating the vacuum field equations with spherical symmetry, we find two families of black-hole…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Rui Xu , Dicong Liang , Lijing Shao

In this paper we obtain an exact high dimensional anti-de Sitter (AdS) black hole solution in Einstein-bumblebee gravity theory. This AdS-like black hole can only exist with a linear functional potential of the bumblebee field. We find that…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu

We show how to find exact black hole solutions in bumblebee gravity with cosmological constant including BTZ black holes.

General Relativity and Quantum Cosmology · Physics 2023-08-11 P. Valtancoli

The breakdown of Lorentz invariance, a potential signature of quantum gravity, offers a window into physics beyond general relativity. We investigate how such a violation, embodied by the Einstein-Bumblebee black hole spacetime, influences…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Yangchun Tang , Zhilong Liu , Wentao Liu , Jieci Wang

We discuss the solution to Einstein's equations for a Lense-Thirring inspired metric describing a slowly rotating black hole coupled to nonlinear electrodynamics. We show that different schemes of rotation for the black hole exist; they…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Claus Lämmerzahl , Marco Maceda , Alfredo Macías

Vector-tensor theories beyond General Relativity have widely been studied in the context of ultraviolet completion of gravity, endowing a mass to the graviton and explaining dark energy phenomena. We here construct rotating black hole…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Siddarth Ajith , Alexander Saffer , Kent Yagi

In this work, the quasinormal modes of a $5$-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity have been investigated with the help of the Pad\'e averaged higher order WKB approximation method and the validity of Hod's…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Dhruba Jyoti Gogoi

We consider perturbative solutions in Einstein gravity with higher-derivative extensions and address some subtle issues of taking extremal limit. As a concrete new result, we construct the perturbative rotating black hole in five dimensions…

High Energy Physics - Theory · Physics 2023-11-01 Liang Ma , Yue-Zhou Li , H. Lu

In this work, we investigated the thermodynamics of Schwarzschild-like bumblebee black hole using Iyer-Wald covariant phase space formalism. With a non zero vacuum expectation value, the bumblebee field is responsible for spontaneously…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Yu-Sen An

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Lang Cheng , Peng Wang

Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the…

High Energy Physics - Theory · Physics 2025-09-01 Hai-Feng Ding

We investigate quantum information and thermodynamic properties of a new bumblebee black hole arising from spontaneous Lorentz symmetry breaking by analyzing near-horizon physics through complementary quantum probes. We study the…

General Relativity and Quantum Cosmology · Physics 2025-12-22 A. A. Araújo Filho , Wentao Liu

In theories where the Lorentz symmetry of gravity is spontaneously broken, a non-minimally coupled bumblebee vector field acquires a nonzero vacuum expectation value, leading to modifications of standard General Relativity (GR). In this…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Faizuddin Ahmed , Shubham Kala , Ahmad Al-Badawi

An exact Kerr-like solution has been obtained recently in Einstein-bumblebee gravity model where Lorentz symmetry is spontaneously broken. In this paper, we investigate the superradiant instability of the Kerr-like black hole under the…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Rui Jiang , Rui-Hui Lin , Xiang-Hua Zhai

Entangled Relativity is a non-linear reformulation of Einstein's General Theory of Relativity (General Relativity) that offers a more parsimonious formulation. This non-linear approach notably requires the simultaneous definition of matter…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Maxime Wavasseur , Theo Abrial , Olivier Minazzoli

Recently Ho\v{r}ava proposed a renormalizable quantum gravity, without the ghost problem, by abandoning Einstein's equal-footing treatment of space and time through the anisotropic scaling dimensions. Since then various interesting aspects,…

High Energy Physics - Theory · Physics 2015-06-05 Mu-In Park
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