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The scattering of massless waves of helicity $|h|=0,\frac{1}{2},1$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelenght regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we…

High Energy Physics - Theory · Physics 2023-02-22 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

In this paper, we investigate the problem of electromagnetic (EM) wave scattering by one and many small perfectly conducting bodies and present a numerical method for solving it. For the case of one body, the problem is solved for a body of…

Numerical Analysis · Mathematics 2017-10-19 Nhan Tran

The absorption cross section for scalar particle impact on a Schwarzschild black hole is found. The process is dominated by two physical phenomena. One of them is the well-known greybody factor that arises from the energy-dependent…

General Relativity and Quantum Cosmology · Physics 2009-08-18 M. Yu. Kuchiev , V. V. Flambaum

Black hole (BH) perturbation theory and the scattering models provide a powerful framework for studying gravitational lensing at the wave-optics level. However, conventional calculations encountered two issues: the divergence of the…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Zhao Li , Wen Zhao

We study the excitation of axial quasi-normal modes of deformed non-rotating black holes by test-particles and we compare the associated gravitational wave signal with that expected in general relativity from a Schwarzschild black hole.…

General Relativity and Quantum Cosmology · Physics 2015-12-01 Guancheng Pei , Cosimo Bambi

We investigate the wave effects of gravitational waves (GWs) using numerical simulations with the finite element method (FEM) based on the publicly available code {\it deal.ii}. We robustly test our code using a point source monochromatic…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Jian-hua He

We consider the electromagnetic field occurring in the background of a static, axially symmetric vacuum solution of Einstein's field equations immersed in an external magnetic field. The solution, known as the $\gamma$ metric (or…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Carlos A. Benavides-Gallego , Ahmadjon Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov , Cosimo Bambi

The scattering of massive particles by a Schwarzschild black hole also undergoing a drag force is considered. The latter is modeled as a viscous force acting on the orbital plane, with components proportional to the associated particle…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

We have studied the wave properties of the cold and isothermal plasma in the vicinity of the Schwarzschild black hole event horizon. The Fourier analyzed perturbed 3+1 GRMHD equations are taken on the basis of which the complex dispersion…

General Relativity and Quantum Cosmology · Physics 2009-11-13 M. Sharif , G. Mustafa

We consider the propagation of a generic scalar field around a rotating and charged black hole. Using the partial wave method, we find, numerically, the total and partial absorption cross sections for different incidence angles. We…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Carolina L. Benone , Luís C. B. Crispino

We investigate the scattering properties of a massless scalar field in the background of a charged Ay\'on-Beato-Garc\'ia regular black hole solution. Using a numerical approach, we compute the differential scattering cross section for…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Marco A. A. de Paula , Luiz C. S. Leite , Luís C. B. Crispino

Based on the developed quantum microscopic theory, the interaction of weak electromagnetic radiation with dense ultracold atomic clouds is described in detail. The differential and total cooperative scattering cross sections are calculated…

Quantum Physics · Physics 2015-05-27 I. M. Sokolov , D. V. Kupriyanov , M. D. Havey

Asymptotic analytic solutions of the Dirac equation, giving the scattering modes (of the continuous energy spectrum, $E>mc^2$) in Schwarzschild's chart and Cartesian gauge, are used for building the partial wave analysis of Dirac fermions…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Ion I. Cotaescu , Cosmin Crucean , Ciprian A. Sporea

We compute electromagnetic wave propagation through the magnetosphere of a magnetar. The magnetosphere is modeled as the QED vacuum and a cold, strongly magnetized plasma. The background field and electromagnetic waves are treated…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Dan Mazur , Jeremy S. Heyl

We compute spectra, waveforms, angular distribution and total gravitational energy of the gravitiational radiation emitted during the radial infall of a massless particle into a Schwarzschild black hole. Our fully relativistic approach…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vitor Cardoso , Jose' P. S. Lemos

A pair of wave equations is presented for the gravitational and electromagnetic perturbations of a charged black hole. One of the equations is uncoupled and determines the propagation of the electromagnetic perturbation. The other is for…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Zoltán Perjés

The 3+1 GRMHD equations for Schwarzschild spacetime in Rindler coordinates with isothermal state of plasma are formulated. We consider the cases of non-rotating and rotating backgrounds with non-magnetized and magnetized plasmas. For these…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Sharif , Umber Sheikh

This note tackles the problem of the backscattering of a mass-less scalar field in the case of Schwarzschildean space-time. It shows that the effect depends both on a distance from the horizon and on the wave length. The obtained estimates…

Astrophysics · Physics 2009-11-06 Krzysztof Roszkowski

Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order $O(a)$…

Mathematical Physics · Physics 2011-01-25 A. G. Ramm

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski
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