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Gravitational perturbations about a Kerr black hole in the Newman-Penrose formalism are concisely described by the Teukolsky equation. New numerical methods for studying the evolution of such perturbations require not only the construction…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Manuela Campanelli , Carlos O. Lousto

We prove boundedness and polynomial decay statements for solutions to the spin $\pm2$ generalized Teukolsky system on a Reissner-Nordstr\"om background with small charge. The first equation of the system is the generalization of the…

广义相对论与量子宇宙学 · 物理学 2020-09-03 Elena Giorgi

We perform an analytic late time analysis for maximal slicing of the Reissner-Nordstr\"om black hole spacetime. In particular, we discuss the collapse of the lapse in terms of its late time behavior at the throat and at the event horizon…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Bernd Reimann , Bernd Bruegmann

We examine the motion in Schwarzschild spacetime of a point particle endowed with a scalar charge. The particle produces a retarded scalar field which interacts with the particle and influences its motion via the action of a self-force. We…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Roland Haas , Eric Poisson

It was recently shown that spacetime singularities in numerical relativity could be avoided by excising a region inside the apparent horizon in numerical evolutions. In this paper we report on the details of the implementation of this…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Peter Anninos , Greg Daues , Joan Masso , Edward Seidel , Wai-Mo Suen

Modifications to general relativity lead to effects in the spectrum of quasi-normal modes of black holes. In this paper, we develop a parametrized formalism to describe deviations from general relativity in the Teukolsky equation, which…

广义相对论与量子宇宙学 · 物理学 2024-10-31 Pablo A. Cano , Lodovico Capuano , Nicola Franchini , Simon Maenaut , Sebastian H. Völkel

We consider the corrections due to quantum fluctuations of fields on charged black holes induced from the energy-momentum trace anomaly. Although the number of horizons stays unchanged and their positions receive only finite corrections,…

The self field of a charged particle has a component that diverges at the particle. We use both coordinate and covariant approaches to compute an expansion of this singular field for generic geodesic orbits in Schwarzschild spacetime for…

广义相对论与量子宇宙学 · 物理学 2013-11-06 Anna Heffernan , Adrian Ottewill , Barry Wardell

We consider collision of two particles near the horizon of a nonextremal static black hole. At least one of them is accelerated. We show that the energy $E_{c.m.}$ in the center of mass can become unbounded in spite of the fact that a black…

广义相对论与量子宇宙学 · 物理学 2020-04-29 O. B. Zaslavskii

The dynamics of accretion onto a schwarzschild black hole is studied using Paczynski-Wiita pseudo newtonian potential. Steady state solution of the flow equations is obtained using thin disc approximation, including the effect of…

天体物理学 · 物理学 2007-05-23 Sivakumar G. Manickam , Sandip K. Chakrabarti

We study the late-time relaxation of a perturbed Schwarzschild black hole, driven by a source term representing an infalling particle in generic orbits. We consider quasi-circular and eccentric binaries, dynamical captures and radial…

广义相对论与量子宇宙学 · 物理学 2025-02-04 Marina De Amicis , Simone Albanesi , Gregorio Carullo

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

广义相对论与量子宇宙学 · 物理学 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

We study the quasinormal mode eigenvalues and eigenfunctions for the Teukolsky equation in a horizon penetrating, hyperboloidally compactified (HPHC) coordinate system. Following earlier work by Zengino\u{g}lu (arXiv:1102.2451), we show…

广义相对论与量子宇宙学 · 物理学 2022-07-04 Justin L. Ripley

For an arbitrary strong, spherically symmetric super-horizon curvature perturbation, we present analytical solutions of the Einstein equations in terms of asymptotic expansion over the ratio of the Hubble radius to the length-scale of the…

广义相对论与量子宇宙学 · 物理学 2012-10-09 A. G. Polnarev , Tomohiro Nakama , Jun'ichi Yokoyama

The interior of a Schwarzschild black hole is investigated at the level of phenomenological dynamics with the discreteness corrections of loop quantum geometry implemented in two different improved quantization schemes. In one scheme, the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dah-Wei Chiou

We prove by explicit construction that there exists a maximal slicing of the Schwarzschild spacetime such that the lapse has zero gradient at the puncture. This boundary condition has been observed to hold in numerical evolutions, but in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Bernd Reimann , Bernd Bruegmann

We model the general relativistic interaction of a small hyperelastic sphere with a Schwarzschild black hole as it follows an initially marginally-bound orbit through a close encounter. While the interaction reveals effects that are encoded…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Nishita Jadoo , J. David Brown , Charles R. Evans

We prove boundedness and polynomial decay statements for solutions to the spin $\pm1$ Teukolsky-type equation projected to the $\ell=1$ spherical harmonic on Reissner-Nordstr\"om spacetime. The equation is verified by a gauge-invariant…

广义相对论与量子宇宙学 · 物理学 2019-09-19 Elena Giorgi

We consider the quantum-mechanical decay of a Schwarzschild-like black hole formed by gravitational collapse into almost-flat space-time and weak radiation at a late time. We evaluate quantum amplitudes (not just probabilities) for…

广义相对论与量子宇宙学 · 物理学 2015-05-18 A. N. St. J. Farley , P. D. D'Eath

We analyse the physical properties of an analytical, nonsingular quantum-corrected black hole solution recently derived in a minisuperspace model for unimodular gravity under the assumption of unitarity in unimodular time. We show that the…

广义相对论与量子宇宙学 · 物理学 2026-02-02 Steffen Gielen , Sofie Ried
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