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Related papers: Source-Driven Tails in Kerr Spacetime: Nonlinear e…

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Numerical evaluation of the self-force on a point particle is made difficult by the use of delta functions as sources. Recent methods for self-force calculations avoid delta functions altogether, using instead a finite and extended…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ian Vega , Barry Wardell , Peter Diener

A disformal rotating black-hole solution is a black-hole solution in quadratic degenerate higher-order scalar-tensor theories. It breaks the circular condition of spacetime different from the case of the usual Kerr spacetime. This study…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Xuan Zhou , Songbai Chen , Jiliang Jing

We present an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field perturbations (for a specific multipole) of…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Marc Casals , Adrian C. Ottewill

In this work, we derive the global sharp decay, as both a lower and an upper bounds, for the spin $\pm \mathfrak{s}$ components, which are solutions to the Teukolsky equation, in the black hole exterior and on the event horizon of a slowly…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Siyuan Ma , Lin Zhang

We performed detailed calculations of the relativistic effects acting on both the reflection continuum and the iron line from accretion discs around rotating black holes. Fully relativistic transfer of both illuminating and reprocessed…

Astrophysics · Physics 2009-10-31 A. Martocchia , V. Karas , G. Matt

We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hole without symmetry assumptions on the data. We also consider electromagnetic and gravitational perturbations for which we obtain decay rates…

Analysis of PDEs · Mathematics 2012-02-06 Roland Donninger , Wilhelm Schlag , Avy Soffer

New physics and systematic errors can lead to deviations between the models used to analyze gravitational wave data and the actual signal. Such deviations will generally be correlated between detectors and manifest differently across the…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Guillaume Dideron , Suvodip Mukherjee , Luis Lehner

It was recently shown that (near-)extremal Kerr black holes are sensitive probes of small higher-derivative corrections to general relativity. In particular, these corrections produce diverging tidal forces on the horizon in the extremal…

High Energy Physics - Theory · Physics 2024-05-31 Gary T. Horowitz , Maciej Kolanowski , Grant N. Remmen , Jorge E. Santos

The gravitational self-force on a point particle moving in a vacuum background spacetime can be expressed as an integral over the past worldline of the particle, the so-called tail term. In this paper, we consider that piece of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Warren G. Anderson , Eanna E. Flanagan , Adrian C. Ottewill

Nonlinear hydrodynamic interactions can change the relaxation of fluctuations from exponential to power-law decay at late times. Schwinger-Keldysh effective field theory provides a standard framework for describing such fluctuation effects,…

High Energy Physics - Theory · Physics 2026-05-06 Dong-Lin Wang , Shi Pu

We investigate linear, spin-field perturbations of Kerr black holes in the extremal limit throughout the complex-frequency domain. We calculate quasi-normal modes of extremal Kerr, as well as of near-extremal Kerr, via a novel approach:…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Marc Casals , Luís F. Longo Micchi

So far analysis of the quasinormal spectrum of a massive charged scalar field in the black hole background has been limited by the regime of small \mu M and qQ, where \mu, q (M, Q) are mass and charge of the field (black hole). Here we…

General Relativity and Quantum Cosmology · Physics 2013-08-06 R. A. Konoplya , A. Zhidenko

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

Some recently discovered nonperturbative strong-field effects in tensor-scalar theories of gravitation are interpreted as a scalar analog of ferromagnetism: "spontaneous scalarization". This phenomenon leads to very significant deviations…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Thibault Damour , Gilles Esposito-Farese

It was first pointed out by Koyama and Tomimatsu that, under reasonable assumptions, the asymptotic late-time tails of massive scalar perturbations in the far zone of spherically symmetric black hole spacetimes decays universally as…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Wei-Liang Qian , Kai Lin , Cai-Ying Shao , Bin Wang , Rui-Hong Yue

In this paper we study scalar perturbations of the metric for nonlinear $f(R)$ models. We consider the Universe at the late stage of its evolution and deep inside the cell of uniformity. We investigate the astrophysical approach in the case…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-04 Maxim Eingorn , Jan Novák , Alexander Zhuk

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

Materials Science · Physics 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background metric. This accounts for the Aretakis…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Samuel E. Gralla , Peter Zimmerman

In this work, we investigate the late-time cosmic dynamics in the framework of non-linear $f(R, L_m)$ gravity, adopting the functional form $f(R,L_m)=\frac{R}{2}+L_m^2$. To explore the dark energy behavior, we assume an oscillatory…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Amit Samaddar , S. Surendra Singh

Extreme-mass-ratio inspirals (EMRIs) are among the most promising sources for future space-based gravitational-wave (GW) detectors, such as LISA. To fully leverage the scientific potential, the GW templates required for parameter estimation…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Viktor Skoupý