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The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Alexandre Le Tiec

We consider the linearized perturbations of near-horizon extremal Reissner-Nordstr\"om black holes in $d$-dimensional Einstein-Maxwell-Gauss-Bonnet gravity and seven-dimensional third-order Lovelock gravity. We find the solutions for the…

High Energy Physics - Theory · Physics 2025-08-22 Robert J. Saskowski

Perturbation theory of rotating black holes is described in terms of the Weyl scalars $\psi_4$ and $\psi_0$; each satisfying the Teukolsky's complex master wave equation with spin $s=\mp2$, and respectively representing outgoing and ingoing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos O. Lousto

In this study, we investigate a nonlinear mechanism driving the formation of scalarized rotating black holes within a scalar-Gauss-Bonnet gravity framework that includes an additional squared Gauss-Bonnet term. With the specific coupling…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

The recent first detection of gravitational waves (GWs) from binary black hole mergers has spurred a renewed interest in possible deviations from General Relativity (GR), since they could be detected in the GWs emitted by such systems. Of…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Hugo Roussille

We present a new method for the calculation of black hole perturbations induced by extended sources in which the solution of the nonlinear hydrodynamics equations is coupled to a perturbative method based on Regge-Wheeler/Zerilli and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valeria Ferrari , Leonardo Gualtieri , Luciano Rezzolla

The detection of gravitational waves from compact binary mergers by the LIGO/Virgo collaboration has, for the first time, allowed for tests of relativistic gravity in the strong, dynamical and nonlinear regime. Outside Einstein's…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Dongjun Li , Pratik Wagle , Yanbei Chen , Nicolás Yunes

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

The gravitational perturbations of a rotating Kerr black hole are notoriously complicated, even at the linear level. In 1973, Teukolsky showed that their physical degrees of freedom are encoded in two gauge-invariant Weyl curvature scalars…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Roman Berens , Trevor Gravely , Alexandru Lupsasca

In this paper we analyze the perturbations of the Kerr-Newman dilatonic black hole background. For this purpose we perform a double expansion in both the background electric charge and the wave parameters of the relevant quantities in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. Casadio , B. Harms , Y. Leblanc , P. H. Cox

We calculate the linear vacuum perturbations of a Kerr black hole surrounded by a slowly-varying external spacetime to third order in the ratio of the black-hole mass to the radius of curvature of the external spacetime. This expansion…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Katerina Chatziioannou , Eric Poisson , Nicolas Yunes

We report evidence for nonlinear modes in the ringdown stage of the gravitational waveform produced by the merger of two comparable-mass black holes. We consider both the coalescence of black hole binaries in quasicircular orbits and…

Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Paolo Pani

We study linear perturbations around the static and spherically symmetric spacetime for the gravitational theories whose Lagrangian depends on Ricci scalar and the parity violating Chern-Simons term. By an explicit construction, we show…

General Relativity and Quantum Cosmology · Physics 2011-12-15 Hayato Motohashi , Teruaki Suyama

We develop a numerical approach to compute polar parity perturbations within fully relativistic models of black hole systems embedded in generic, spherically symmetric, anisotropic fluids. We apply this framework to study gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Nicholas Speeney , Emanuele Berti , Vitor Cardoso , Andrea Maselli

We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

Superradiant instabilities of spinning black holes can be used to impose strong constraints on ultralight bosons, thus turning black holes into effective particle detectors. However, very little is known about the development of the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Richard Brito , Vitor Cardoso , Paolo Pani

We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Jin Saito , Tsutomu Kobayashi

The fundamental process of detecting and examining the polarization modes of gravitational waves plays a pivotal role in enhancing our grasp on the precise mechanisms behind their generation. A thorough investigation is essential for…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Shailesh Kumar , Rishabh Kumar Singh , Abhishek Chowdhuri , Arpan Bhattacharyya

In this paper, we discuss a fully nonlinear mechanism for the formation of scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet gravity, where Kerr black holes are linearly stable, but unstable against nonlinear scalar…

General Relativity and Quantum Cosmology · Physics 2023-10-09 Meng-Yun Lai , De-Cheng Zou , Rui-Hong Yue , Yun Soo Myung