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We analytically study the quasinormal modes of a scalar perturbation around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We observe that the Lorentz symmetry breaking parameter imprints only in the imaginary parts of…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Chengjia Chen , Qiyuan Pan , Jiliang Jing

We obtain exact expressions for the quasinormal modes (QNMs) of the massive scalar, fermionic and vector perturbations around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We find that the Lorentz symmetry breaking (LSB)…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Fangli Quan , Zhong-Wu Xia , Rui Ding , Qiyuan Pan , Jiliang Jing

We establish the existence of stationary clouds of massive test scalar fields around BTZ black holes. These clouds are zero-modes of the superradiant instability and are possible when Robin boundary conditions (RBCs) are considered at the…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Hugo R. C. Ferreira , Carlos A. R. Herdeiro

In this paper we consider the massive scalar perturbation on the top of a small spinning-like black hole in context of Einstein-bumblebee modified gravity in order to probe the role of spontaneous Lorentz symmetry breaking on the…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Mohsen Khodadi

A Kerr-Sen-like black hole solution results from Einstein-bumblebee gravity. It contains a Lorentz violating (LV) parameter that enters when the bumblebee field receives vacuum expectation value through a spontaneously breaking of the…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Sohan Kumar Jha , Anisur Rahaman

We have studied the quasinormal modes (QNMs) of a slowly rotating black hole with Lorentz-violating parameter in Einstein-bumblebee gravity. We analyse the slow rotation approximation of the rotating black hole in the Einstein-bumblebee…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Wentao Liu , Xiongjun Fang , Jiliang Jing , Jieci Wang

This paper investigates the dynamic behavior of static, spherically symmetric black holes within the Einstein-Bumblebee gravity model with a cosmological constant, focusing on scalar field perturbations. Through separation of the angular…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Hao Hu , Guoxiong Zhu

This study probes spacetime solutions within Einstein-Bumblebee gravity, a modified gravitational framework incorporating spontaneous Lorentz symmetry violation through a vector field mechanism. By introducing a cosmological constant into…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Reggie C. Pantig , Shubham Kala , Ali Övgün , Nikko John Leo S. Lobos

In this study, we examine the impacts of black hole spin, Lorentz-violating parameter, and the scalar field's mass on quasinormal modes (QNMs) of rotating Einstein-Bumblebee black holes, including computations up to the second-order…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Weike Deng , Wentao Liu , Fen Long , Kui Xiao , Jiliang Jing

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

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

We have studied quasi-periodic oscillations frequencies in a rotating black hole with Lorentz symmetry breaking parameter in Einstein-bumblebee gravity by relativistic precession model. We find that in the rotating case with non-zero spin…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Zejun Wang , Songbai Chen , Jiliang Jing

We studied the eigenvalue problem of scalar fields in the (2+1)-dimensional BTZ black hole spacetime. The Dirichlet boundary condition at infinity and the Dirichlet or the Neumann boundary condition at the horizon are imposed. Eigenvalues…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Maiko Kuwata , Masakatsu Kenmoku , Kazuyasu Shigemoto

We analytically and numerically study quasinormal frequencies (QNFs) of neutral and charged scalar fields in the charged anti-de Sitter (AdS) black holes and discuss the stability of the black holes in terms of the QNFs. We focus on the…

General Relativity and Quantum Cosmology · Physics 2021-06-18 Takuya Katagiri , Tomohiro Harada

In this work, we investigate the structure of black hole shadows in the bumblebee gravity model formulated within the metric-affine framework, which incorporates spontaneous Lorentz symmetry breaking (LSB) through a vector field $B_\mu$…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Jose R. Nascimento , Ana R. M. Oliveira , Albert Yu. Petrov , Paulo J. Porfírio , Amilcar R. Queiroz

We study electrically charged, slowly rotating black hole solutions in Einstein-Bumblebee gravity coupled to the traceless (conformal) ModMax nonlinear electrodynamics. By adopting a quadratic bumblebee potential that fixes the vacuum…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yassine Sekhmani , Wentao Liu , Weike Deng , Kuantay Boshkayev

Massive bosonic fields in the background of a Kerr black hole can either trigger superradiant instabilities (black-hole bombs) or form equilibrium configurations corresponding to pure bound states, known as stationary scalar clouds. Here,…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Marzena Ciszak , Francesco Marino

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 introduce an analog model for the conformally coupled scalar field on the BTZ black hole. The model is based on the propagation of acoustic waves in a Laval nozzle. Since the BTZ black hole is not a globally hyperbolic spacetime, the…

General Relativity and Quantum Cosmology · Physics 2023-03-13 Christyan C. de Oliveira , Ricardo A. Mosna , João Paulo M. Pitelli

BTZ black holes provide excellent frameworks for studying theories that are at the interface of classical and quantum gravity. In this paper we couple the Riemannian spacetime with the bumblebee field, in the background of massive gravity,…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Askar Ali , Khalid Saifullah
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