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We consider a massive vector field with derivative interactions that propagates only the 3 desired polarizations (besides two tensor polarizations from gravity) with second-order equations of motion in curved space-time. The cosmological…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Mukohyama , Shinji Tsujikawa , Ying-li Zhang

In this article we study the mechanical stability of spherically symmetric thin shells with charge, in Einstein-Maxwell and Einstein-Born-Infeld theories. We analyze linearized perturbations preserving the symmetry, for shells around vacuum…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Ernesto F. Eiroa , Claudio Simeone

We investigate the stability of massless topological black holes in AdS_d when minimally coupled to a scalar field of negative mass-squared. In many cases such black holes are unstable even though the field is above the BF bound and the…

High Energy Physics - Theory · Physics 2016-10-18 Alexandre Belin , Alexander Maloney

The aim of this paper is to present a governing equation for first order axial metric perturbations of general, not necessarily static, spherically symmetric spacetimes. Under the non-restrictive assumption of axisymmetric perturbations,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Max Karlovini

Horizon solutions for the axial perturbations of the spherically symmetric metric are analyzed in the framework of the relativistic theory of gravitation. The gravitational perturbations can not be absorbed by the horizon that results in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. L. Kalashnikov

The parity violating model based on teleparallel gravity is a competitive scheme for parity violating gravity, which has been preliminary studied in the literature. To further investigate the parity violating model in teleparallel gravity,…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Haomin Rao , Dehao Zhao

We present a generalization of previous results regarding the stability under gravitational perturbations of nakedly singular super extreme Kerr spacetime and Kerr black hole interior beyond the Cauchy horizon. To do so we study solutions…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

We present a method for parametrizing linear cosmological perturbations of theories of gravity, around homogeneous and isotropic backgrounds. The method is sufficiently general and systematic that it can be applied to theories with any…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Macarena Lagos , Tessa Baker , Pedro G. Ferreira , Johannes Noller

We investigate black holes and gravitational perturbations when both the scalar Gauss-Bonnet and dynamical Chern-Simons gravity sectors coexist in addition to the Einstein-Hilbert term, and both sectors are coupled to a single canonically…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Shin'ichi Hirano , Masashi Kimura , Masahide Yamaguchi

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

These lecture notes are concerned with linear stability of the non-extreme Kerr geometry under perturbations of general spin. After a brief review of the Kerr black hole and its symmetries, we describe these symmetries by Killing fields and…

General Relativity and Quantum Cosmology · Physics 2021-09-15 Felix Finster

The addition of a Ricci coupling to Einstein-scalar-Gauss-Bonnet theories makes general relativity a cosmological attractor. Previous work considered a quadratic coupling function with two independent coupling constants in such theories and…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Burkhard Kleihaus , Jutta Kunz , Tim Utermöhlen , Emanuele Berti

We study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large $D$ allows us to calculate analytically the complex…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

The Newtonian as well as the special relativistic dynamics are used to study the stability of orbits of a test particle moving around a black hole plus a dipolar halo. The black hole is modeled by either the usual monopole potential or the…

Astrophysics · Physics 2007-05-23 E. Gueron , P. S. Letelier

We investigate the classical stability of Schwarzschild-AdS black hole in a massive theory of the Einstein-Weyl gravity. It turns out that the linearized Einstein tensor perturbations exhibit unstable modes featuring the Gregory-Laflamme…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yun Soo Myung

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

We analyze spherically symmetric black hole solutions with time-dependent scalar hair in a class of Lovelock-Galileon theories, which are the scalar-tensor theories with second-order field equations in arbitrary dimensions. We first show…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Kazufumi Takahashi , Teruaki Suyama , Tsutomu Kobayashi

We study the linear stability of vacuum static, spherically symmetric solutions to the gravitational field equations of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity, restricting ourselves to nonphantom…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Kodir Badalov , Rustam Ibadov

In symmetric teleparallel geometry the curvature and torsion tensors are assumed to vanish identically, while the dynamics of gravity is encoded by nonmetricity. Here the spatially homogeneous and isotropic connections that can accompany…

General Relativity and Quantum Cosmology · Physics 2024-04-02 Laur Jarv , Laxmipriya Pati

We investigate the stability of a family of spherically symmetric static solutions in vacuum Brans-Dicke theory (with $\omega=0$) recently described by van Putten. Using linear perturbation theory, we find one exponentially growing mode for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Matthew W. Choptuik , Eric W. Hirschmann , Steven Liebling