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Gravitational perturbations due to a point particle moving on a static black hole background are naturally described in Regge-Wheeler gauge. The first-order field equations reduce to a single master wave equation for each radiative mode.…

广义相对论与量子宇宙学 · 物理学 2018-03-21 Seth Hopper

The hyperboloidal initial value problem is addressed in the context of Numerical Relativity, motivated by its use of hyperboloidal slices - smooth spacelike slices that reach future null infinity, the "place" in spacetime where radiation is…

广义相对论与量子宇宙学 · 物理学 2015-12-03 Alex Vañó-Viñuales

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…

广义相对论与量子宇宙学 · 物理学 2018-01-16 Orr Sela

Extreme mass-ratio inspirals (EMRIs) are among the key targets for future space-based gravitational wave detectors. The gravitational waveforms emitted by EMRIs are highly sensitive to the orbital dynamics of the small compact object, which…

广义相对论与量子宇宙学 · 物理学 2025-10-08 Soroush Zare , Tao Zhu , Luis M. Nieto , Shuo Lu , Hassan Hassanabadi

In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norstr\"om black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the…

广义相对论与量子宇宙学 · 物理学 2025-01-06 David Senjaya , Supakchai Ponglertsakul

We compute the semiclassical current and stress-energy fluxes both at the event and Cauchy horizon of a near-extremal Reissner-Nordstr\"om black hole. We consider a minimally-coupled, massless, charged scalar field in the Unruh state,…

广义相对论与量子宇宙学 · 物理学 2025-06-27 Maria Alberti , Jochen Zahn

The Regge-Wheeler equation for black-hole gravitational waves is analyzed for large negative imaginary frequencies, leading to a calculation of the cut strength for waves outgoing to infinity. In the--limited--region of overlap, the results…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Alec Maassen van den Brink

We compute gravitational radiation waveforms, spectra and energies for a point particle of mass $m_0$ falling from rest at radius $r_0$ into a Schwarzschild hole of mass $M$. This radiation is found to lowest order in $(m_0/M)$ with the use…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Carlos O. Lousto , Richard H. Price

The propagation of (massless) scalar, electromagnetic and gravitational waves on fixed Schwarzschild background spacetime is described by the general time-dependent Regge-Wheeler equation. We transform this wave equation to usual…

广义相对论与量子宇宙学 · 物理学 2015-03-30 Dennis Philipp , Volker Perlick

In this thesis we study several dynamical processes involving black holes in four and higher dimensions. First, using perturbative techniques, we compare the massless and massive scalar radiation emitted by a particle radially infalling…

广义相对论与量子宇宙学 · 物理学 2012-11-12 Richard Brito

We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hiroyuki Nakano , Carlos O. Lousto

Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. This paper presents progress on finding the electromagnetic and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

We intend to develop part of the theoretical tools needed for the detection of gravitational waves coming from the capture of a compact object, 1-100 solar masses, by a Supermassive Black Hole, up to a 10 billion solar masses, located at…

广义相对论与量子宇宙学 · 物理学 2012-09-11 Alessandro Spallicci , Patxi Ritter , Sylvain Jubertie , Stèphane Cordier , Sofiane Aoudia

We consider perturbations of a Schwarzschild black hole that can be of both even and odd parity, keeping terms up to second order in perturbation theory, for the $\ell=2$ axisymmetric case. We develop explicit formulae for the evolution…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Carlos O. Nicasio , Reinaldo Gleiser , Jorge Pullin

For a Schwarzchild black hole of mass $M$, we consider a test particle falling from rest at infinity and becoming trapped, at late time, on the unstable circular orbit of radius $r=4GM/c^2$. When the particle is endowed with a small mass,…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Leor Barack , Marta Colleoni , Thibault Damour , Soichiro Isoyama , Norichika Sago

We compute, at the first self force accuracy level, the radiated energy from a radially infalling particle released from rest in a Schwarzschild spacetime. We examine both the cases of a scalar particle and that of a massive particle, in…

广义相对论与量子宇宙学 · 物理学 2026-04-28 Donato Bini , Giorgio Di Russo

The null geodesics of a Schwarzschild black hole are studied from a dynamical systems perspective. Written in terms of Kerr-Schild coordinates, the null geodesic equation takes on the simple form of a particle moving under the influence of…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Edward Belbruno , Frans Pretorius

We present an elementary physical space argument to establish local integrated decay estimates for the perturbed wave equation $\Box_g \phi = \epsilon \beta^a \partial_a \phi$ on the exterior of the Schwarzschild geometry $(\mathcal{M},g)$.…

广义相对论与量子宇宙学 · 物理学 2020-05-29 Gustav Holzegel , Christopher Kauffman

A simple model for an evaporating non-rotating black hole is considered, employing a global time that does not become singular at the putative horizon. The dynamics of a test particle falling radially towards the center of the black hole is…

广义相对论与量子宇宙学 · 物理学 2019-02-26 Klaus Kassner

A leading approach to the modelling of extreme mass ratio inspirals involves the treatment of the smaller mass as a point particle and the computation of a regularized self-force acting on that particle. In turn, this computation requires…

广义相对论与量子宇宙学 · 物理学 2012-09-28 Barry Wardell , Ian Vega , Jonathan Thornburg , Peter Diener