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We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lior M. Burko , Amos Ori

We study analytically the asymptotic evolution of charged fields around a Reissner-Nordstr\"om black-hole. Following the no-hair theorem we focus attention on the dynamical mechanism by which the charged hair is radiated away. We find an…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shahar Hod , Tsvi Piran

We study the nonlinear gravitational collapse of a charged massless scalar-field. We confirm the existence of oscillatory inverse power-law tails along future timelike infinity, future null infinity and along the future outer-horizon. The…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod , Tsvi Piran

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

We investigate the late-time tails of self-interacting (massive) scalar fields in the spacetime of dilaton black hole. Following the no hair theorem we examine the mechanism by which self-interacting scalar hair decay. We revealed that the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 R. Moderski , M. Rogatko

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

Power law tails induced by nonlinearities of General Relativity (``sourced'' or ``nonlinear'' tails) were recently shown to dominate the late time waveform of Schwarzschild black hole ringdowns. We extend the analytical results regarding…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Siyang Ling , Sam S. C. Wong

We investigate the power-law tails in the evolution of a charged massless scalar field around a fixed background of a dilaton black hole. Using both analytical and numerical methods we find the inverse power-law relaxation of charged fields…

High Energy Physics - Theory · Physics 2009-11-07 Rafal Moderski , Marek Rogatko

We prove the global leading-order late-time asymptotic behaviour of solutions to inhomogeneous wave equations on dynamical black hole exterior backgrounds that settle down to Schwarzschild backgrounds with arbitrarily small decay rates. In…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Dejan Gajic , Lionor Kehrberger

We present a new analytic approach for the study of late time evolution of linear test-fields, propagating on the exterior of black holes. This method provides a calculation scheme applicable to Kerr black holes (for which case no analytic…

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

We study analytically the initial value problem for a charged massless scalar-field on a Reissner-Nordstr\"om spacetime. Using the technique of spectral decomposition we extend recent results on this problem. Following the no-hair theorem…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod , Tsvi Piran

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 dynamics of massive spin-2 fields in flat and curved spacetimes are studied analytically. We find that the time evolutions of the massive fields are characterized by oscillatory power-law decaying tails at asymptotically late…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

The "no hair" theorem, a key result in General Relativity, states that an isolated black hole is defined by only three parameters: mass, angular momentum, and electric charge; this asymptotic state is reached on a light-crossing time scale.…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Maxim Lyutikov , Jonathan C. McKinney

We study numerically the fully nonlinear spherically-symmetric collapse of a self-gravitating, minimally-coupled, massless scalar field. Our numerical code is based on double-null coordinates and on free evolution of the metric functions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

We provide a rigorous derivation of the precise late-time asymptotics for solutions to the scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for projections to angular frequencies $\ell\geq 1$ and $\ell\geq 2$.…

General Relativity and Quantum Cosmology · Physics 2021-02-25 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

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

The late-time evolution of the charged massive Dirac fields in the background of a Reissner-Norstr\"om (RN) black hole is studied. It is found that the intermediate late-time behavior is dominated by an inverse power-law decaying tail…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jiliang Jing

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

We investigate both the intermediate late-time tail and the asymptotic tail behavior of the charged massive Dirac fields in the background of the Kerr-Newman black hole. We find that the intermediate late-time behavior of charged massive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Xi He , Jiliang Jing
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