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Related papers: Comments on tails in Schwarzschild spacetimes

200 papers

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

The motion of an extended body up to the quadrupolar structure is studied in the Schwarzschild background following Dixon's model and within certain restrictions (constant frame components for the spin and the quadrupole tensor, center of…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Donato Bini , Pierluigi Fortini , Andrea Geralico , Antonello Ortolan

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 investigate the asymptotic behavior of spherically symmetric solutions to scalar wave and Yang-Mills equations on a Schwarzschild background. The studies demonstrate the astrophysical relevance of null infinity in predicting radiation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Anıl Zenginoğlu

We consider the long-time behaviour of spherically symmetric solutions in the Einstein-Skyrme model. Using nonlinear perturbation analysis we obtain the leading order estimation of the tail in the topologically trivial sector (B = 0) of the…

General Relativity and Quantum Cosmology · Physics 2011-02-21 Stanislaw Zajac

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We investigate the waveforms and quasi-normal modes around Schwarzschild traversable wormholes under different field perturbations, including the scalar field, the electromagnetic (vector) field, and the axial gravitational (tensor) field…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hao Yang , Zhong-Wu Xia , Yan-Gang Miao

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

Amazingly, recent studies indicate that nonlinear effects are of great significance for modelling black hole ringdown. Transient electromagnetic events in the astrophysical environment are typically high energetic, potentially responsible…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Zhen-Tao He , Jia Du , Jiageng Jiao , Caiying Shao , Junxi Shi , Yu Tian , Hongbao Zhang

We study numerically the late-time tails of linearized fields with any spin $s$ in the background of a spinning black hole. Our code is based on the ingoing Kerr coordinates, which allow us to penetrate through the event horizon. The late…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko , Gaurav Khanna

We show that the leading-order term in the late-time asymptotics of solutions to the linear wave equation on radially symmetric stationary perturbations of $(2 + 1)$-dimensional Minkowski space is proportional to $u^{-1/2}v^{-1/2}$ (which…

Analysis of PDEs · Mathematics 2026-05-13 Onyx Gautam

Gravitational waves contain tail effects which are due to the back-scattering of linear waves in the curved space-time geometry around the source. In this paper we improve the knowledge and accuracy of the two-body inspiraling…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

Using the Green's function representation technique, the late time behavior of localized scalar field distributions on Schwarzschild spacetimes is studied. Assuming arbitrary initial data we perform a spectral analysis, computing the…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Miguel Alcubierre , Dario Nunez , Olivier Sarbach

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

We demonstrate that the late time oscillatory tails of massive gravitons, present in both massive theories of gravity and effectively in extra-dimensional scenarios, could potentially contribute to gravitational waves with very long…

General Relativity and Quantum Cosmology · Physics 2024-05-08 R. A. Konoplya , A. Zhidenko

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 consider the late-time asymptotic behavior for solutions of Einstein's equations with the wave map matter. Solutions starting from small compactly supported $\ell$-equivariant initial data with $\ell\geq 1$ are shown to decay as…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Piotr Bizon , Tadeusz Chmaj , Andrzej Rostworowski , Stanislaw Zajac

It is well known that the late-time behaviour of gravitational collapse is {\it dominated} by an inverse power-law decaying tail. We calculate {\it higher-order corrections} to this power-law behaviour in a spherically symmetric…

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

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

We consider the long-time behavior of small amplitude solutions of the semilinear wave equation $\Box \phi =\phi^p$ in odd $d\geq 5$ spatial dimensions. We show that for the quadratic nonlinearity ($p=2$) the tail has an anomalously small…

Mathematical Physics · Physics 2008-11-26 Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski