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We report the existence of novel static spherical black-hole solutions in a vector-tensor gravitational theory called the bumblebee gravity model which extends the Einstein-Maxwell theory by allowing the vector to nonminimally couple to the…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Rui Xu , Dicong Liang , Lijing Shao

Numerical-relativity simulation is performed for rapidly spinning black holes (BHs) in a higher-dimensional spacetime of special symmetries for the dimensionality $6 \leq d \leq 8$. We find that higher-dimensional BHs, spinning rapidly…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Masaru Shibata , Hirotaka Yoshino

In this work, we present black hole solutions with a cosmological constant in bumblebee gravity, which provides a mechanism for the Lorentz symmetry violation by assuming a nonzero vacuum expectation value for the bumblebee field. From the…

General Relativity and Quantum Cosmology · Physics 2021-02-02 R. V. Maluf , Juliano C. S. Neves

In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Shinji Tsujikawa

In scalar-vector-tensor theories with $U(1)$ gauge invariance, it was recently shown that there exists a new type of hairy black hole (BH) solutions induced by a cubic-order scalar-vector interaction. In this paper, we derive conditions for…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

In four-dimensional scalar-tensor theories derived via dimensional regularization with a conformal rescaling of the metric, we study the stability of planar black holes (BHs) whose horizons are described by two-dimensional compact Einstein…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Antonio De Felice , Shinji Tsujikawa

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

We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher-dimensional black…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Eugeny Babichev , Alessandro Fabbri

Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Beroiz , Gustavo Dotti , Reinaldo J. Gleiser

We study the stability under linear odd-parity perturbations of static spherically symmetric black holes in Horndeski gravity. We derive the master equation for these perturbations and obtain the conditions of no-ghost and Laplacian…

General Relativity and Quantum Cosmology · Physics 2018-07-03 Apratim Ganguly , Radouane Gannouji , Manuel Gonzalez-Espinoza , Carlos Pizarro-Moya

In this paper, we study the particle dynamics, shadow, and optical appearance of charged black holes (BHs) in bumblebee gravity. Firstly, we find that the Lorentz-violation parameter l and charge parameter Q have opposite effects on the…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Mou Xu , Jianbo Lu , Ruonan Li , Yu Liu , Shu-Min Wu

In this work, we study a vector model of spontaneous spacetime-symmetry breaking coupled to gravity: the bumblebee model. The primary focus is on static spherically symmetric solutions. Complementing previous work on black hole solutions,…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Quentin G. Bailey , Hailey S. Murray , Dario T. Walter-Cardona

This paper numerically studies if the stability of a stable black hole is robust against the small perturbation on geometry near its event horizon. As a toy model, it encodes the such perturbation into deformations of Regge-Wheeler…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Zhan-Feng Mai , Run-Qiu Yang

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

We investigate the static spherically symmetric vacuum solutions in a generalized bumblebee gravity model characterized by non-minimal couplings $B^2 R$ and $B^\mu B^\nu R_{\mu\nu}$. We demonstrate that the variation of the action and the…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Jie Zhu , Hao Li

Motivated by recent developments in Lorentz-violating theories of gravity, we obtain new black hole solutions within the framework of bumblebee gravity, where the bumblebee vector field possesses two independent nonzero components and…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jia-Zhou Liu , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

One can obtain very large classes of horizonless microstate geometries corresponding to near-extremal black holes by placing probe supertubes whose action has metastable minima inside certain supersymmetric bubbling solutions. We show that…

High Energy Physics - Theory · Physics 2016-05-25 Iosif Bena , Giulio Pasini

The bumblebee gravity model includes a class of vector-tensor theories of gravitation where the vector field couples to the Ricci tensor quadratically. We obtain an analytical spherical black-hole solution in this model. The solution has…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Rui Xu

Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of non-trivial black holes. There exists a maximum point of the black hole entropy, where the stability of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. Maeda , T. Tachizawa , T. Torii , T. Maki

We investigate the black holes in the new massive conformal gravity which is not invariant under conformal transformations because of the presence of the Einstein-Hilbert term. First, we show that the small Schwarzschild black hole is…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Yun Soo Myung , De-Cheng Zou
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