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Outside a black hole, perturbation fields die off in time as $1/t^n$. For spherical holes $n=2\ell+3$ where $\ell$ is the multipole index. In the nonspherical Kerr spacetime there is no coordinate-independent meaning of "multipole," and a…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Reinaldo J. Gleiser , Richard H. Price , Jorge Pullin

Motivated by results of recent analytic studies, we present a numerical investigation of the late-time dynamics of scalar test fields on Kerr backgrounds. We pay particular attention to the issue of mixing of different multipoles and their…

General Relativity and Quantum Cosmology · Physics 2009-12-30 William Krivan

Superradiant scattering of linear spin $s=0,\pm 1,\pm 2$ fields on Kerr black hole background is investigated in the time domain by integrating numerically the homogeneous Teukolsky master equation. The applied numerical setup has already…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Károly Zoltán Csukás , István Rácz

We present an analytic method for calculating the late-time tails of a linear scalar field outside a Kerr black hole. We give the asymptotic behavior at timelike infinity (for fixed $r$), at future null infinity, and along the event horizon…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack , Amos Ori

The late-time behavior of a scalar field on fixed Kerr background is examined in a numerical framework incorporating the techniques of conformal compactification and hyperbolic initial value formulation. The applied code is 1+(1+2) as it is…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Istvan Racz , Gabor Zsolt Toth

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. Glampedakis , N. Andersson

We consider a massless scalar field propagating in a weakly curved spacetime whose metric is a solution to the linearized Einstein field equations. The spacetime is assumed to be stationary and asymptotically flat, but no other symmetries…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Eric Poisson

We have developed a numerical method for evolving perturbations of rotating black holes. Solutions are obtained by integrating the Teukolsky equation written as a first-order in time, coupled system of equations, in a form that explicitly…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. Krivan , P. Laguna , P. Papadopoulos

Real astronomical objects possess spin, yet deriving exact solutions for rotating black holes within gravitational theories is a formidable challenge. To understand the shadow of rotating black holes in Lorentz-violating spacetimes induced…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Wentao Liu , Di Wu , Jieci Wang

An astrophysically realistic model of wave dynamics in black-hole spacetimes must involve a non-spherical background geometry with angular momentum. We consider the evolution of gravitational (and electromagnetic) perturbations in rotating…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod

The late-time tails of a massive scalar field in the spacetime of black holes are studied numerically. Previous analytical results for a Schwarzschild black hole are confirmed: The late-time behavior of the field as recorded by a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Lior M. Burko , G. Khanna

We present a comprehensive analysis of late-time tails in gravitational radiation from merging spin-aligned eccentric binary black holes, using high-accuracy point-particle black hole perturbation theory simulations. We simulate the…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Tousif Islam , Guglielmo Faggioli , Gaurav Khanna

We study analytically, via the Newman-Penrose formalism, the late time decay of scalar, electromagnetic, and gravitational perturbations outside a realistic rotating (Kerr) black hole. We find a power-law decay at timelike infinity, as well…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack

We study the scalar perturbation on the background of a Kerr black hole in the dynamical Chern-Simons modified gravity with a quadratic coupling between the scalar field and Chern-Simons term. In particular, the late-time tails of scalar…

General Relativity and Quantum Cosmology · Physics 2019-02-22 Yuan-Xing Gao , Yang Huang , Dao-Jun Liu

We discuss the late-time behaviour of a dynamically perturbed Kerr black hole. We present analytic results for near extreme Kerr black holes that show that the large number of virtually undamped quasinormal modes that exist for nonzero…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Nils Andersson , Kostas Glampedakis

Modelling of gravitational waves from binary black hole inspiral has played an important role in the recent observations of such signals. The late-stage ringdown phase of the gravitational waveform is often associated with the null particle…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Gaurav Khanna , Richard H. Price

We compute the gravitational radiation generated in the evolution of a family of close binary black hole configurations, using a combination of numerical and perturbative approximation methods. We evolve the binaries with spins, $s$,…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

In numerical computations of Einstein's equations for black hole spacetimes, it will be necessary to use approximate boundary conditions at a finite distance from the holes. We point out here that ``tails,'' the inverse power-law decrease…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Elspeth W. Allen , Elizabeth Buckmiller , Lior M. Burko , Richard H. Price

We investigate the late-time tail behavior in gravitational waves from merging eccentric binary black holes (BBH) using black hole perturbation theory. For simplicity, we focus only on the dominant quadrupolar mode of the radiation. We…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Tousif Islam , Guglielmo Faggioli , Gaurav Khanna , Scott E. Field , Maarten van de Meent , Alessandra Buonanno

The time evolution of linear fields of spin $s = \pm 1$ and $s = \pm 2$ on Kerr black hole spacetimes are investigated by solving the homogeneous Teukolsky equation numerically. The applied numerical setup is based on a combination of…

General Relativity and Quantum Cosmology · Physics 2020-02-03 Károly Csukás , István Rácz , Gábor Zsolt Tóth
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