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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 study analytically the asymptotic late-time evolution of realistic rotating collapse. This is done by considering the asymptotic late-time solutions of Teukolsky's master equation, which governs the evolution of gravitational,…

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

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 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

The asymptotically decaying tails that characterize the late-time dynamics of collapsing self-gravitating charged massless scalar fields were studied three decades ago by Hod and Piran (HP). In particular, it was shown, both analytically…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Shahar Hod

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 apply a new analytic scheme, developed in a preceding paper, in order to calculate the late time behavior of scalar test fields evolving outside a Schwarzschild black hole. The pattern of the late time decay at future null infinity is…

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

The evolution of scalar, electromagnetic and gravitational fields around spherically symmetric black hole surrounded by quintessence are studied with special interest on the late-time behavior. In the ring down stage of evolution, we find…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Nijo Varghese , V. C. Kuriakose

Quasinormal modes and power-law late-time decay tails of a charged scalar field on a charged black hole have been considered in the literature, and here we use the hyperboloidal formalism to present an independent comparison to prior…

General Relativity and Quantum Cosmology · Physics 2026-01-21 João D. Álvares , Alex Vañó-Viñuales

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 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 present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-investigate the critical collapse of a non-spherical massless…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Carsten Gundlach , Thomas W. Baumgarte , David Hilditch

We examine a one-parameter family of analytical solutions representing spherically symmetric collapse of a nonlinear massless scalar field with self-interaction in an asymptotically flat spacetime. The time evolution exhibits a type of…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Xuefeng Zhang , H. Lu

Nonlinear effects play a fundamental role in the late-time ringdown of black holes, with direct implications for gravitational-wave observations. For massive fields, these dynamics become richer, yet their nonlinear signatures remain poorly…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Caiying Shao , Zhen-Tao He , Jiageng Jiao , Jingqi Lai , Jun-Xi Shi , Yu Tian , Dandan Yuan , Hongbao Zhang

We study nonlinear evolutions of binary black hole mergers, uncovering power-law contributions generated by the long-range behaviour of the highly-curved dynamical spacetime. The result is achieved by exploiting the strong increase of the…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Gregorio Carullo , Marina De Amicis

We investigate the nonlinear evolution of black hole ringdown in the framework of higher-order metric perturbation theory. By solving the initial-value problem of a simplified nonlinear field model analytically as well as numerically, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Kunihito Ioka , Masa-aki Sakagami

The time-evolution of matter fields in black hole exterior spacetimes is a well-studied subject, spanning several decades of research. However, the behavior of fields in the black hole interior spacetime, has only relatively recently begun…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Izak Thuestad , Gaurav Khanna , Richard Price

It is presented a thorough analysis of scalar perturbations in the background of Gauss-Bonnet, Gauss-Bonnet-de Sitter and Gauss-Bonnet-anti-de Sitter black hole spacetimes. The perturbations are considered both in frequency and time domain.…

High Energy Physics - Theory · Physics 2009-11-11 E. Abdalla , R. A. Konoplya , C. Molina

We uncover late-time gravitational-wave tails in fully nonlinear 3+1 dimensional numerical relativity simulations of merging black holes, using the highly accurate SpEC code. We achieve this result by exploiting the strong magnification of…

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