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Self-force methods can be applied in calculations of the scatter angle in two-body hyperbolic encounters, working order by order in the mass ratio (assumed small) but with no recourse to a weak-field approximation. This, in turn, can inform…

广义相对论与量子宇宙学 · 物理学 2022-09-09 Oliver Long

We continue our study of the decoupled wave equation in the exterior of a spherically symmetric, Schwarzschild, black hole. Because null geodesics on the photon sphere orbit the black hole, extra effort must be made to show that the high…

偏微分方程分析 · 数学 2007-05-23 P. Blue , A. Soffer

We study slowly rotating black hole solutions in the Einstein-Bel-Robinson gravity (EBR) in four dimensions. At the leading order in the rotation parameter, the only modification with respect to the static case is the appearance of a…

广义相对论与量子宇宙学 · 物理学 2025-05-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Robert B. Mann

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

Complete integrability of geodesic motion, the well known feature of the fields of isolated stationary black holes, can easily be "spoilt" by the presence of some additional source (even if highly symmetric). In previous papers, we used…

高能天体物理现象 · 物理学 2019-05-21 L. Polcar , P. Suková , O. Semerák

We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial…

广义相对论与量子宇宙学 · 物理学 2019-08-14 Mieszko Rutkowski

In this paper, we study the spontaneous scalarization of Reissner-Nordstr{\"o}% m (RN) black holes enclosed by a cavity in an Einstein-Maxwell-scalar (EMS) model with non-minimal couplings between the scalar and Maxwell fields. In this…

广义相对论与量子宇宙学 · 物理学 2021-12-01 Feiyu Yao

If we apply the path integral formulation in order to analyze the particle creation process of black-holes inside the non-linear formulation of massive gravity, it is possible to demonstrate that the effect of the extra-degrees of freedom…

广义相对论与量子宇宙学 · 物理学 2017-08-04 Ivan Arraut

We study the quantum-mechanical decay of a Schwarzschild-like black hole into almost-flat space and weak radiation at a very late time, evaluating quantum amplitudes (not just probabilities) for transitions from initial to final states. No…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. N. St. J. Farley , P. D. D'Eath

Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole…

广义相对论与量子宇宙学 · 物理学 2010-04-21 Yasushi Mino , Jeandrew Brink

We present a novel method that solves Teukolsky equations with the source to calculate radiation fluxes at infinity and event horizon for any perturbation fields of type-D black holes. For the first time, we use the confluent Heun function…

广义相对论与量子宇宙学 · 物理学 2024-03-13 Changkai Chen , Jiliang Jing

We consider general radially moving frames realized in the background of nonextremal black holes having causal structure similar to that of the Schwarzschild metric. In doing so, we generalize the Lema\^{\i}tre approach, constructing…

广义相对论与量子宇宙学 · 物理学 2023-03-29 A. Toporensky , O. Zaslavskii

Binary black hole mergers with asymmetric component masses are key targets for both third-generation ground-based and future space-based gravitational-wave (GW) detectors, offering unique access to the strong-field dynamics of gravity. The…

广义相对论与量子宇宙学 · 物理学 2025-12-17 Daiki Watarai , Kent Yagi , Shammi Tahura

We use the extension of the Minimal Geometric Deformation approach, recently developed to investigate the exterior of a self-gravitating system in the Braneworld, to identified a master solution for the deformation undergone by the radial…

广义相对论与量子宇宙学 · 物理学 2016-03-22 J. Ovalle

We describe a special class of ballistic geodesics in Schwarzschild space-time, extending to the horizon in the infinite past and future of observer time, which are characterized by the property that they are in 1-1 correspondence, and…

广义相对论与量子宇宙学 · 物理学 2015-03-06 G. d'Ambrosi , J. W. van Holten

Rotating black holes in Einstein-Maxwell-Chern-Simons theory possess remarkable features, when the Chern-Simons coupling constant reaches a critical value. Representing single asymptotically flat black holes with horizons of spherical…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We study the motion of an elastic rigid rod which is radially free-falling towards a Schwarzschild black hole. This is accomplished by reducing the corresponding free-boundary PDE problem to a sequence of ODEs, which we integrate…

广义相对论与量子宇宙学 · 物理学 2024-10-04 Luís Machado , José Natário , Jorge Drumond Silva

The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

广义相对论与量子宇宙学 · 物理学 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

This article outlines our derivation of the second order perturbations to a Schwarzschild black hole, highlighting our use of, and necessary reliance on, computer algebra. The particular perturbation scenario that is presented here is the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 George Davies

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

广义相对论与量子宇宙学 · 物理学 2009-10-31 A. Garat , R. H. Price