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In Einstein-Aether theory, we study the stability of black holes against odd-parity perturbations on a spherically symmetric and static background. For odd-parity modes, there are two dynamical degrees of freedom arising from the tensor…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Shinji Tsujikawa , Chao Zhang , Xiang Zhao , Anzhong Wang

In Einstein-Aether gravity, we revisit the issue of linear stabilities of black holes against odd-parity perturbations on a static and spherically symmetric background. In this theory, superluminal propagation is allowed and there is a…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Shinji Mukohyama , Shinji Tsujikawa , Anzhong Wang

Recently, exact charged spherically symmetric black hole solutions within the framework of bumblebee gravity have been obtained, where the Lorentz symmetry is spontaneously broken due to the nonvanishing vacuum expectation value of the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Bo-Rui Li , Jia-Zhou Liu , Wen-Di Guo , Yu-Xiao Liu

We investigate the linear stability of scalarized black holes (BHs) and neutron stars (NSs) in the Einstein-scalar-Gauss-Bonnet (GB) theories against the odd- and even-parity perturbations including the higher multipole modes. We show that…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Masato Minamitsuji , Shinji Mukohyama

We study the stability of static black holes in the third order Lovelock theory. We derive a master equation for tensor perturbations. Using the master equation, we analyze the stability of Lovelock black holes mainly in seven and eight…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Tomohiro Takahashi , Jiro Soda

We find the Gregory-Laflamme $s$-mode instability of the non-rotating BTZ black hole in new massive gravity. This instability shows that the BTZ black hole could not exist as a stable static solution to the new massive gravity. For…

High Energy Physics - Theory · Physics 2013-12-16 Taeyoon Moon , Yun Soo Myung

We study Einstein-Gauss-Bonnet gravity coupled to a bumblebee field which leads to a spontaneous Lorentz symmetry breaking in the gravitational sector. We obtain an exact black hole solution and a cosmological solution in four dimensional…

General Relativity and Quantum Cosmology · Physics 2022-02-03 Chikun Ding , Xiongwen Chen , Xiangyun Fu

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

Rotating hairy black holes (RHBHs) are axisymmetric equilibrium solutions of the Einstein--Klein--Gordon equations, consisting of a spinning black hole surrounded by a toroidal distribution of complex scalar field. Despite their potential…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Juan A. Carretero , Philippe Grandclément , Carlos Palenzuela , Marcelo Salgado

In this paper, we perform a detailed study of the thermodynamic properties of a charged black hole in bumblebee gravity in the presence of a global monopole. We also analyze the optical characteristics of this black hole solution,…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Faizuddin Ahmed , Shubham Kala , Edilberto O. Silva

We investigate static and spherically symmetric black hole (BH) solutions in shift-symmetric quadratic-order degenerate higher-order scalar-tensor (DHOST) theories. We allow a nonconstant kinetic term $X=g^{\mu\nu}…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Masato Minamitsuji , James Edholm

We show that nonsingular black holes realized in nonlinear electrodynamics are always prone to Laplacian instability around the center because of a negative squared sound speed in the angular direction. This is the case for both electric…

General Relativity and Quantum Cosmology · Physics 2025-02-28 Antonio De Felice , Shinji Tsujikawa

Bumblebee gravity is one of the simplest gravity theories with spontaneous Lorentz symmetry breaking. Since we know a rotating black hole solution in bumblebee gravity, we can potentially test this model with the available astrophysical…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Jiale Gu , Shafqat Riaz , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi

After recent observational events like the LIGO-Virgo detections of gravitational waves and the shadow image of M87* supermassive black hole by Event Horizon Telescope (EHT), the theoretical study of black holes was significantly improved.…

General Relativity and Quantum Cosmology · Physics 2021-09-22 R. Oliveira , D. M. Dantas , C. A. S. Almeida

In this paper, we present charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Jia-Zhou Liu , Wen-Di Guo , Shao-Wen Wei , Yu-Xiao Liu

Black hole quasinormal modes are known to exhibit spectral instability under ultraviolet perturbations of the effective potential. In the present work, we investigate the sensitivity of the fundamental mode to different types of localized…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Ramin G. Daghigh , Michael D. Green , Guan-Ru Li , Jodin C. Morey , Wei-Liang Qian , Stefan J. Randow

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

We constrain the parameter space of the Bumblebee model in a cosmological background and then investigate the properties of gravitational waves within the constrained parameter space. Our analysis reveals seven perturbative degrees of…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Xiao-Bin Lai , Yu-Qi Dong , Yu-Zhi Fan , Yu-Xiao Liu

In this brief report, we investigate the existence of 4-dimensional static spherically symmetric black holes (BHs) in the Einstein-complex-scalar-Gauss-Bonnet (EcsGB) gravity with an arbitrary potential $V(\phi)$ and a coupling $f(\phi)$…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Kai Lin , Shaojun Zhang , Chao Zhang , Xiang Zhao , Bin Wang , Anzhong Wang

In this work, we investigate the dynamic aspects of Bumblebee gravity via the parameterized post-Newtonian method. We find that the PPN framework is self-consistent up to 1.5PN order if and only if $\lambda = -\xi/2$, which corresponds to a…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Jie Zhu , Hao Li