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The Dirac equation is considered in Schwarzschild black hole immersed in an electromagnetic universe with charge coupling. The equations of the charged spin-1/2 particle is separated into radial and angular equations by adopting the…

General Relativity and Quantum Cosmology · Physics 2019-07-19 Ahmad Al-Badawi

We study the behaviour of spin-half particles in curved space-time. Since Dirac equation gives the dynamics of spin-half particles, we mainly study the Dirac equation in Schwarzschild, Kerr, Reissner-Nordstr\"om geometry. Due to the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Banibrata Mukhopadhyay

In this work, the fermion behaviour near the Reissner-Nordstrom black holes in quantum mechanics is studied and exact solutions of the Dirac equation for Reissner-Nordstrom Black Holes are obtained in terms of special functions. We have…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Özlem YeŞiltaŞ

We investigate the spin-1/2 relativistic quantum dynamics in the curved space-time generated by a central massive charged object (black hole). This necessitates a study of the coupling of a Dirac particle to the Reissner-Nordstrom…

General Relativity and Quantum Cosmology · Physics 2016-04-01 J. H. Noble , U. D. Jentschura

We consider for j=1/2, 3/2,... a spherically symmetric, static system of (2j+1) Dirac particles, each having total angular momentum j. The Dirac particles interact via a classical gravitational and electromagnetic field. The…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Felix Finster , Joel Smoller , Shing-Tung Yau

We consider a test charged particle falling onto a Schwarzschild black hole and evaluate its electromagnetic field. The Regge-Wheeler equation is solved analytically by approximating the potential barrier with Dirac delta function and…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Komarov S. O. , Gorbatsievich A. K. , Vereshchagin G.

This paper focuses on the motion of a test particle moving around the Reissner-Nordstrom black hole. It deals with circular motion and radial motion of the neutral massive test particles, and shortly handles circular motion of the charged…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Moonju Hong

The behavior of a charged massive Dirac field on a Reissner-Nordstrom-AdS black hole background is investigated. The essential self-adjointness of the Dirac Hamiltonian is studied. Then, an analysis of the discharge problem is carried out…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Belgiorno , S. L. Cacciatori

The behavior of spin-half particles is discussed in the 3 + 1-dimensional constant curvature black hole (CCBH) spacetime. We use Schwarzschild-like coordinates, valid outside the black hole event horizon. The constant time surfaces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Banibrata Mukhopadhyay , Kaushik Ghosh

There is a growing interest in the study of regular black holes because they eliminate the problem of the singularity that conventional black hole models present. We analyze here the motion of different types of particles (without mass,…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Katharine I. Cuba , Santiago E. Perez

We obtain an approximate solution for the motion of a charged particle around a Schwarzschild black hole immersed in a weak dipolar magnetic field. We focus on eccentric bound orbits in the equatorial plane of the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Demetrios B. Papadopoulos , Ioannis Contopoulos , Kostas D. Kokkotas , Nikolaos Stergioulas

A concentric charged thin-shell encircling a Reissner-Nordstr\"{o}m black hole screens the clectric / magnetic charge completely to match with an external Schwarzschild black hole. The negative mass thin-shell is shown to be stable against…

General Relativity and Quantum Cosmology · Physics 2015-07-22 S. Habib Mazharimousavi , M. Halilsoy

The aim of this paper is to investigate the separability of a spin-1/2 spinor field in a five-dimensional rotating, charged black hole constructed by Cvetic and Youm in string theory, in the case when three U(1) charges are set equal. This…

High Energy Physics - Theory · Physics 2014-11-18 Shuang-Qing Wu

We show asymptotic completeness for the massive charged Dirac equation between the black hole and Cauchy horizons of a sub-extremal ((Anti-) De Sitter) Reissner-Nordstr\"om black hole.

General Relativity and Quantum Cosmology · Physics 2022-04-14 Dietrich Häfner , Mokdad Mokdad , Jean-Philippe Nicolas

The interaction of a Reissner-Nordstr\"om black hole and a charged massive particle is studied in the framework of perturbation theory. The particle backreaction is taken into account, studying the effect of general static perturbations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Donato Bini , Andrea Geralico , Remo Ruffini

In this article, we study the superradiance of charged scalar fields on the sub-extremal Reissner-Nordstrom metric, a mechanism by which such fields can extract energy from a static spherically symmetric charged black hole. A geometrical…

Mathematical Physics · Physics 2015-08-06 Laurent Di Menza , Jean-Philippe Nicolas

The Reissner-Nordstr\"om black hole - moving mirror correspondence is solved. The beta coefficients reveal that charge makes a black hole radiate fewer particles (neutral massless scalars) per frequency. An old Reissner-Nordstr\"om black…

General Relativity and Quantum Cosmology · Physics 2020-12-29 Michael R. R. Good , Yen Chin Ong

The paper presents the analysis of effective potentials of Dirac equations in Schwarzschild and Reissner-Nordstroem fields. It is shown that in the majority of the explored cases the condition of a particle "fall" to appropriate event…

General Relativity and Quantum Cosmology · Physics 2015-11-17 M. V. Gorbatenko , V. P. Neznamov , E. Yu. Popov

We study the motion of neutral test particles in the gravitational field of two charged black holes described by the extreme Reissner-Nordstr{\o}m dihole metric where the masses and charges of the black holes are chosen such that the…

General Relativity and Quantum Cosmology · Physics 2013-02-01 Andreas Wünsch , Thomas Müller , Daniel Weiskopf , Günter Wunner

We derive the static spherically symmetric vacuum solution for a spacetime with non-vanishing torsion by solving the field equations analytically. The effects of torsion appear as a single parameter in the line element. For the positive…

General Relativity and Quantum Cosmology · Physics 2019-05-20 S. Gharibi Nodijeh , S. Akhshabi , F. Khajenabi
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