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Related papers: Scattering of Dirac Waves off Kerr Black Holes

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Chandrasekhar separated the Dirac equation for spinning and massive particles in Kerr geometry into radial and angular parts. In the present review, we present solutions of the complete wave equation and discuss how the Dirac wave scatters…

Astrophysics · Physics 2007-05-23 Sandip K. Chakrabarti , Banibrata Mukhopadhyay

Chandrasekhar separated the Dirac equation for spinning and massive particles in Kerr geometry in radial and angular parts. Chakrabarti solved the angular equation and found the corresponding eigenvalues for different Kerr parameters. The…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay , Sandip K. Chakrabarti

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

The massive Dirac equation on a Kerr-Newman background may be solved by the method of separation of variables. The radial and angular equations are coupled via an angular eigenvalue, which is determined from the Chandrasekhar-Page (CP)…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Sam Dolan , Jonathan Gair

Starting with the Dirac equation outside the event horizon of a non-extreme Kerr black hole, we develop a time-dependent scattering theory for massive Dirac particles. The explicit computation of the modified wave operators at infinity is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Batic

Here we are interested to study the spin-1 particle i.e., electro-magnetic wave in curved space-time, say around black hole. After separating the equations into radial and angular parts, writing them according to the black hole geometry,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Banibrata Mukhopadhyay

We study the scattering of massive spin-half waves by a Schwarzschild black hole using analytical and numerical methods. We begin by extending a recent perturbation theory calculation to next order to obtain Born series for the differential…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sam Dolan , Chris Doran , Anthony Lasenby

The separability of the massive Dirac equation in the non-extreme Kerr geometry in horizon-penetrating advanced Eddington-Finkelstein-type coordinates is shown. To this end, the Kerr geometry is described in the Newman-Penrose formalism by…

General Relativity and Quantum Cosmology · Physics 2019-02-21 Christian Röken

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 study the scattering of axially incident massless scalar waves by a charged and rotating black hole solution from heterotic string theory called the Kerr-Sen black hole. We compute the scattering cross section using the partial wave…

General Relativity and Quantum Cosmology · Physics 2023-11-23 Sérgio V. M. C. B. Xavier , Carolina L. Benone , Luiz C. S. Leite , Luís C. B. Crispino

We study electromagnetic perturbations around a Kerr black hole surrounded by a thin disk on the equatorial plane. Our main purpose is to reveal the black hole superradiance of electromagnetic waves emitted from the disk surface. The…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Taichi Kobayashi , Akira Tomimatsu

We consider the Cauchy problem for the massive Dirac equation in the non-extreme Kerr-Newman geometry outside the event horizon. We derive an integral representation for the Dirac propagator involving the solutions of the ODEs which arise…

General Relativity and Quantum Cosmology · Physics 2014-01-28 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

The asymptotic form of Dirac spinors in the field of a Schwarzschild black hole is used for deriving analytically for the first time the phase shifts of the partial wave analysis of Dirac fermions scattered from massive spherical bodies,…

General Relativity and Quantum Cosmology · Physics 2019-01-15 Ion I. Cotaescu , Ciprian A. Sporea

We study the scattering of massless scalar waves by a Kerr black hole by letting plane monochromatic waves impinge on the black hole. We calculate the relevant scattering phase-shifts using the Pruefer phase-function method, which is…

General Relativity and Quantum Cosmology · Physics 2016-08-31 K Glampedakis , N Andersson

Structure of spinning particle based on the rotating black hole solution is considered. It has gyromagnetic ratio $g=2$ and a nontrivial twistorial and stringy systems. The mass and spin appear from excitations of the Kerr circular string,…

High Energy Physics - Theory · Physics 2017-08-23 A. Burinskii

In this paper we are studying the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordstr\"om black holes. This is done by applying the partial wave analysis to the scattering modes obtained after solving the massless…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Ciprian A. Sporea

The asymptotic form of Dirac spinors in the field of the Reissner-Nordstrom black hole are derived for the scattering states (with $E>mc^2$) obtaining the phase shifts of the partial wave analysis of Dirac fermions scattered from charged…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Ion I. Cotaescu , Cosmin Crucean , Ciprian A. Sporea

The light-like limit of the Kerr gravitational field relative to a distant observer moving rectilinearly in an arbitrary direction is an impulsive plane gravitational wave with a singular point on its wave front. By colliding particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Barrabes , V. P. Frolov , P. A. Hogan

We study scattering of waves by black holes. Solving a massless scalar field with a point source in the Schwarzschild spacetime, waves scattered by the black hole is obtained numerically. We then reconstruct images of the black hole from…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ken-ichiro Kanai , Yasusada Nambu

This is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan
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