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We establish a decay result in the black hole exterior region of spherically symmetric solutions to the Einstein-Maxwell-scalar field system arising from compactly supported admissible data. Our result allows for large initial data, and it…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Onyx Gautam

In this work we analyze some judiciously chosen solutions of Kerr Black Holes with Scalar Hair (KBHsSH) of special interest for Gravitational Wave (GW) events originated from Extreme Mass Ratio Inspirals (EMRIs). Because of the off-center…

General Relativity and Quantum Cosmology · Physics 2022-02-21 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al discuss the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in odd spatial dimensions. They derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Nikodem Szpak

We study the evolution of massless scalar waves propagating on spherically symmetric spacetimes with a non-zero cosmological constant. Considering test fields on both Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter backgrounds, we…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Patrick R. Brady , Chris M. Chambers , William Krivan , Pablo Laguna

On a warped five-dimensional Friedmann-Lema\^{\i}tre-Robertson-Walker(FLRW) spacetime, dark energy can be induced by a U(1) scalar-gauge field on the brane. We consider a zero effective cosmological constant, i.e., the Randall-Sundrum(RS)…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Reinoud Jan Slagter

This is the second in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2011-10-06 Sam R. Dolan , Barry Wardell , Leor Barack

Gravitational-wave tails are due to the backscattering of linear waves onto the space-time curvature generated by the total mass of the matter source. The dominant tails correspond to quadratic non-linear interactions and arise at the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Tanguy Marchand , Luc Blanchet , Guillaume Faye

In a 4-dimensional (4D) weak field geometry governed by the linearized Einstein's equations and sourced primarily by a static, spatially localized, but otherwise arbitrary mass density $T_{00}$, it is known that the leading order tail part…

General Relativity and Quantum Cosmology · Physics 2014-07-17 Yi-Zen Chu

Efforts are underway to accurately model extreme-mass-ratio inspirals for binaries with a spinning (Kerr) primary. At lowest order the adiabatic evolution depends on the radiation fluxes. Fluxes and other self-force quantities can be…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Jezreel C. Castillo , Charles R. Evans , Chris Kavanagh , Jakob Neef , Barry Wardell , Adrian Ottewill

We study influence of scalar fields on Nonlinear Electrodynamics spacetimes. The investigation is carried out using both test and gravitating scalar fields. After revisiting Einstein-Maxwell scalar field solutions we focus on analytic…

General Relativity and Quantum Cosmology · Physics 2020-06-15 T. Tahamtan

Exact analytic calculations in spin-1/2 XY chains, show the presence of long-time tails in the asymptotic dynamics of spatially inhomogeneous excitations. The decay of inhomogeneities, for $t\to \infty $, is given in the form of a power law…

Statistical Mechanics · Physics 2009-11-07 G. O. Berim , S. Berim , G. G. Cabrera

This paper investigates the late-time behaviour of certain cosmological models where oscillations play an essential role. Rigorous results are proved on the asymptotics of homogeneous and isotropic spacetimes with a linear massive scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alan D. Rendall

We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , David Pereñiguez , Maarten van de Meent

We study extreme mass ratio inspirals occurring in modified gravity, for which the system is modeled by a small compact object with scalar charge spiraling into a supermassive Kerr black hole. Besides the tensorial gravitational waves…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Hong Guo , Yunqi Liu , Chao Zhang , Yungui Gong , Wei-Liang Qian , Rui-Hong Yue

We analyze the late-time decay of scalar perturbations in extremal Reissner-Nordstrom spacetime. We consider individual spherical-harmonic modes $l$ of a test massless scalar field, restricting our attention to initial data of compact…

General Relativity and Quantum Cosmology · Physics 2018-01-16 Orr Sela

Power-law probability distributions are widely used to model extreme statistical events in complex systems, with applications to a vast array of natural phenomena ranging from earthquakes to stock market crashes to pandemics. We show that…

Quantum Physics · Physics 2026-04-08 Wai-Keong Mok

We analyze the evolution of perturbations of a (charged) massive scalar field near a regular Simpson-Visser black hole, allowing for a non-zero external magnetic field. We show that the damping rate of the quasinormal frequencies is…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Akbar Davlataliev , Bakhtiyor Narzilloev , Ibrar Hussain , Ahmadjon Abdujabbarov , Bobomurat Ahmedov

We investigate the late-time evolution of the Yang-Mills field in the self-gravitating backgrounds: Schwarzschild and Reissner-Nordstr\"om spacetimes. The late-time power-law tails develop in the three asymptotic regions: the future…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Rong-Gen Cai , Anzhong Wang

In this article we study the pointwise decay properties of solutions to the wave equation on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form…

Analysis of PDEs · Mathematics 2011-05-25 Jason Metcalfe , Daniel Tataru , Mihai Tohaneanu

In this paper, we discuss the large--time behavior of solution of a simple kinetic model of Boltzmann--Maxwell type, such that the temperature is time decreasing and/or time increasing. We show that, under the combined effects of the…

Analysis of PDEs · Mathematics 2015-05-19 L. Pareschi , G. Toscani
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