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Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

广义相对论与量子宇宙学 · 物理学 2013-09-10 Paolo Pani

A recently proposed model incorporating a series of higher-curvature corrections allows for analytic black-hole solutions at each order of the expansion, with a fully regular black hole emerging in the limit of infinite number of terms. An…

广义相对论与量子宇宙学 · 物理学 2025-09-22 Roman. A. Konoplya , Alexander Zhidenko

We investigate the behavior of a radiating Schwarzschild black hole toy-model in a 2D noncommutative spacetime. It is shown that coordinate noncommutativity leads to: i) the existence of a minimal non-zero mass to which black hole can…

高能物理 - 理论 · 物理学 2011-01-17 Piero Nicolini , Anais Smailagic , Euro Spallucci

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 propose new analytic formulae describing light bending in Schwarzschild metric. For emission radii above the photon orbit at 1.5 Schwarzschild radius, the formulae have an accuracy of better than 0.2% for the bending angle and 3% for the…

高能天体物理现象 · 物理学 2020-08-05 Juri Poutanen

The ingoing Vaidya metric is introduced as a model for a non-rotating uncharged black hole emitting Hawking radiation. This metric is expected to capture the physics of the spacetime for radial coordinates up to a small multiple $(>1)$ of…

广义相对论与量子宇宙学 · 物理学 2022-01-12 Julius Piesnack , Klaus Kassner

The bending angle of light is a central quantity in the theory of gravitational lensing. We develop an analytical perturbation framework for calculating the bending angle of light rays lensed by a Schwarzschild black hole. Using a…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Savitri V. Iyer , Arlie O. Petters

We establish the analytic structure of the S-matrix in the complex-frequency plane for classical wave scattering on a Schwarzschild background in four space-time dimensions. Our argument relies on the analytic continuation of the…

高能物理 - 理论 · 物理学 2025-12-01 Miguel Correia , Tushar Gopalka , Giulia Isabella , Anna M. Wolz

We apply the "trace anomaly method" to the calculation of moments of the Hawking radiation of a Schwarzschild black hole. We show that they can be explained as the fluxes of chiral currents forming a W-infinity algebra. Then we construct…

高能物理 - 理论 · 物理学 2008-11-26 L. Bonora , M. Cvitan

We investigate a generalized Chaplygin-like gas with an anisotropic equation of state, characterizing a dark fluid within which a static spherically symmetric black hole is assumed. By solving the Einstein equations for this black hole…

广义相对论与量子宇宙学 · 物理学 2024-08-05 Mohsen Fathi , J. R. Villanueva , Gilberto Aguilar-Pérez , Miguel Cruz

The conformal scalar propagator as an explicit function of the Schwarzschild black-hole space-time has been established in the preceding three projects. The present project examines the precise relation which that propagator has to the…

高能物理 - 理论 · 物理学 2025-03-04 George Tsoupros

We present the first numerical construction of the scalar Schwarzschild Green function in the time-domain, which reveals several universal features of wave propagation in black hole spacetimes. We demonstrate the trapping of energy near the…

广义相对论与量子宇宙学 · 物理学 2012-09-27 Anıl Zenginoğlu , Chad R. Galley

Recently, an analytical study of radial and circular orbits for null and time-like geodesics that propagate in the spacetime produced by a Schwarzschild black hole associated with cloud of strings, in a universe filled by quintessence, has…

广义相对论与量子宇宙学 · 物理学 2022-07-26 Mohsen Fathi , Marco Olivares , J. R. Villanueva

We present heuristic arguments suggesting that if EM waves with wavelengths somewhat larger than the Schwarzschild radius of a black hole were fully absorbed by it, the second law of thermodynamics would be violated, under the Bekenstein…

广义相对论与量子宇宙学 · 物理学 2009-02-05 S. Mendoza , X. Hernandez , P. L. Rendon , C. S. Lopez-Monsalvo , R. Velasco-Segura

We calculate the minimum distance at which one may approach a black hole in a free flyby. It corresponds to r=4m for the Schwarzschild black hole and a probe which was non-relativistic at infinity. The problem is formulated in a way that is…

广义相对论与量子宇宙学 · 物理学 2021-11-02 Sebastian J. Szybka

We develop a method for deriving approximate analytical formulae to integrate photon geodesics in a Schwarzschild spacetime. Based on this, we derive the approximate equations for light bending and propagation delay that have been…

高能天体物理现象 · 物理学 2016-11-02 Vittorio De Falco , Maurizio Falanga , Luigi Stella

In general relativity, an IDEAL (Intrinsic, Deductive, Explicit, ALgorithmic) characterization of a reference spacetime metric $g_0$ consists of a set of tensorial equations $T[g]=0$, constructed covariantly out of the metric $g$, its…

广义相对论与量子宇宙学 · 物理学 2019-09-20 Igor Khavkine

We study the gravitational microlensing of various static and spherically symmetric non-singular black holes (and horizonless, non-singular compact objects of similar size). For pointlike sources we extend the parametrized post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2026-02-05 Jens Boos , Hao Hu

We utilize three complementary approaches to pinpoint the exact form of scattering amplitudes in Schwarzschild spacetime. First, we solve the Regge-Wheeler equation perturbatively in the small-frequency regime. We use the obtained solutions…

高能物理 - 理论 · 物理学 2024-09-26 Gleb Aminov , Paolo Arnaudo

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

广义相对论与量子宇宙学 · 物理学 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin