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We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Alex Kehagias , Davide Perrone , Antonio Riotto

We analyze spherical and odd-parity linear perturbations of hairy black holes with a minimally coupled scalar field.

General Relativity and Quantum Cosmology · Physics 2016-02-04 Andres Anabalon , Jiří Bičák

We study the collision of two slowly rotating, initially non boosted, black holes in the close limit. A ``punctures'' modification of the Bowen - York method is used to construct conformally flat initial data appropriate to the problem. We…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Reinaldo J. Gleiser , Alfredo E. Dominguez

In this work we present 3D numerical relativity simulations of thick accretion disks around tilted Kerr BH. We investigate the evolution of three different initial disk models with a range of initial black hole spin magnitudes and tilt…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Vassilios Mewes , José A. Font , Filippo Galeazzi , Pedro J. Montero , Nikolaos Stergioulas

We consider axial (or odd-parity) perturbations of non-spinning hairy black holes (BH) in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories, including terms quartic and cubic in second derivatives of the scalar field.…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Karim Noui , Hugo Roussille , David Langlois

We investigate quadratic quasinormal mode coupling in black hole spacetime through numerical simulations of single perturbed black holes using both numerical relativity and second-order black hole perturbation theory. Focusing on the…

(Abridged) By asymptotically matching a post-Newtonian (PN) metric to two tidally perturbed Schwarzschild metrics, we generate approximate initial data (in the form of a 4-metric) for a nonspinning black hole binary in a circular orbit. We…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Nathan K. Johnson-McDaniel , Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen

We present a new numerical code developed for the evolution of binary black-hole spacetimes using different initial data and evolution techniques. The code is demonstrated to produce state-of-the-art simulations of orbiting and inspiralling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ulrich Sperhake

In the presence of non-minimal gravitational couplings, matter field perturbations on a static black hole spacetime may develop unphysical poles in their linearized equations. Physical solutions confined in the domain between the event…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

We numerically investigate the imprints of gravitational radiation-reaction driven changes to a black hole's mass and spin on the corresponding ringdown waveform. We do so by comparing the dynamics of a perturbed black hole evolved with the…

In bimetric gravity, nonbidiagonal solutions describing a static, spherically symmetric, and asymptotically flat black hole are given by a pair of Schwarzschild geometries, one in each metric sector. The two geometries are linked by a…

General Relativity and Quantum Cosmology · Physics 2025-05-12 David Brizuela , Marco de Cesare , Araceli Soler Oficial

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

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We study the evolution of black hole collisions and ultraspinning black hole instabilities in higher dimensions. These processes can be efficiently solved numerically in an effective theory in the limit of large number of dimensions D. We…

High Energy Physics - Theory · Physics 2019-09-17 Tomas Andrade , Roberto Emparan , David Licht , Raimon Luna

Perturbation theory of rotating black holes is usually described in terms of Weyl scalars $\psi_4$ and $\psi_0$, which each satisfy Teukolsky's complex master wave equation and respectively represent outgoing and ingoing radiation. On the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Carlos O. Lousto , Bernard F. Whiting

We study linear perturbations of a rotating black hole solution that has been recently discovered in degenerate higher-order scalar-tensor (DHOST) theories. We find a parametrization which permits the explicit resolution of the scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Christos Charmousis , Marco Crisostomi , David Langlois , Karim Noui

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba

We extend previous work on 3D black hole excision to the case of distorted black holes, with a variety of dynamic gauge conditions that are able to respond naturally to the spacetime dynamics. We show that the combination of excision and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Bernd Bruegmann , Denis Pollney , Edward Seidel , Ryoji Takahashi

We explicitly construct the metric of a Kerr black hole that is tidally perturbed by the external universe in the slow-motion approximation. This approximation assumes that the external universe changes slowly relative to the rotation rate…

General Relativity and Quantum Cosmology · Physics 2014-04-14 Nicolas Yunes , Jose Gonzalez

General Relativity predicts the existence of quadratic quasi-normal modes at second order in perturbation theory. Building on our recent work, we compute the amplitudes and polarizations of these modes for non-rotating black holes, showing…

High Energy Physics - Theory · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini
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