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We investigate the spacetime of a slowly rotating black hole in the Chern-Simons modified gravity. The long range feature of frame-dragging effect under the Chern-Simon gravity well explains the flat rotation curves of galaxies which is a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kohkichi Konno , Toyoki Matsuyama , Yasuhiro Asano , Satoshi Tanda

We establish the dynamical instability of a static, spherically symmetric, and infinitesimally thin shell in general relativity. The shell is made up of a perfect fluid with a barotropic equation of state, and it produces a Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Tristan Pitre , Berend Schneider , Eric Poisson

Using conformal invariance of gravitational waves, we show that for a luminal modified gravity theory, the gravitational-wave propagation and luminosity distance are the same as in general relativity. The relation between the…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Antonio Enea Romano , Mairi Sakellariadou

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

We study the spectral stability properties of periodic traveling waves in the sine-Gordon equation, including waves of both subluminal and superluminal propagation velocities as well as waves of both librational and rotational types. We…

Analysis of PDEs · Mathematics 2015-06-11 Christopher K. R. T. Jones , Robert Marangell , Peter D. Miller , Ramon G. Plaza

The gravitational wave event GW170817 together with its electromagnetic counterparts constrains the speed of gravity to be extremely close to that of light. We first show, on the example of an exact Schwarzschild-de Sitter solution of a…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Eugeny Babichev , Christos Charmousis , Gilles Esposito-Farese , Antoine Lehébel

Electromagnetic and gravitational radiation do not propagate solely on the null cone in a generic curved spacetime. They develop "tails," traveling at all speeds equal to and less than unity. If sizeable, this off-the-null-cone effect could…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Yi-Zen Chu , Glenn D. Starkman

Some black hole mimickers, as well as black strings and other higher-dimensional spacetimes, exhibit stable light rings-regions where light or high-frequency gravitational waves can be trapped. In these regions, linear perturbations decay…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Jaime Redondo-Yuste , Alejandro Cárdenas-Avendaño

The dynamics of metric perturbations is explored in the gravity theory with anomaly-induced quantum corrections. Our first purpose is to derive the equation for gravitational waves in this theory on the general homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2012-02-21 Julio C. Fabris , Ana M. Pelinson , Filipe de O. Salles , Ilya L. Shapiro

Dynamical Chern-Simons (DCS) modified gravity is an attractive, yet relatively unexplored, candidate to an alternative theory of gravity. The DCS correction couples a dynamical scalar field to the gravitational field. In this framework, we…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. Cardoso , L. Gualtieri

Over the last two decades, motivations for modified gravity have emerged from both theoretical and observational levels. $f(R)$ and Chern-Simons gravity have received more attention as they are the simplest generalization. However, $f(R)$…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Avijit Chowdhury , Semin Xavier , S. Shankaranarayanan

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

This paper studies diagonal spacetime metrics. It is shown that the overdetermined Einstein vacuum equations are compatible if one Killing vector exists. The stability of plane gravitational waves of the Robinson type is studied. This…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Yaron Hadad , Vladimir Zakharov

In Einstein-Aether theories with a timelike unit vector field, we study the linear stability of static and spherically symmetric black holes against both even- and odd-parity perturbations. For this purpose, we formulate a gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Antonio De Felice , Shinji Mukohyama , Shinji Tsujikawa , Anzhong Wang , Chao Zhang

We propose a dynamical amplification mechanism for detecting symmetry breaking in black holes through environmentally driven spectral instabilities of quasinormal modes. Focusing on dynamical Chern-Simons gravity as a paradigm for parity…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Han-Wen Hu , Chen Lan , Zong-Kuan Guo

Black holes have a unique sensitivity to the presence of ultralight matter fields or modifications of the underlying theory of gravity. In the present paper we combine both features by studying an ultralight, dynamical scalar field that is…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Chloe Richards , Alexandru Dima , Helvi Witek

We investigate the propagation of locally plane, small-amplitude, monochromatic gravitational waves through cold compressible interstellar gas in order to provide a more accurate picture of expected waveforms for direct detection. The…

General Relativity and Quantum Cosmology · Physics 2018-06-11 Dániel Barta , Mátyás Vasúth

We examine the motion of an electron constrained to follow a magnetic field line near a primordial sub-stellar mass black hole. Earlier studies treated the problem in flat (Minkowski) spacetime, yielding qualitatively correct results and…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Nikoloz Kurtskhalia , Nikolai Maltsev , Zaza N. Osmanov

We investigate the pseudospectrum of a Schwarzschild-like spacetime within the framework of black hole perturbation theory to analyze a counterintuitive assertion regarding the instability of quasinormal modes. Recent findings suggest that…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Pedro Henrique Croti Siqueira , Lucas Tobias de Paula , Rodrigo Panosso Macedo , Maurício Richartz