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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

We consider a Dirac field on a $(1 + 2)$-dimensional uncharged BTZ black hole background. We first find out the Dirac Hamiltonian, and study its self-adjointness properties. We find that, in analogy to the Kerr-Newman-AdS Dirac Hamiltonian…

Mathematical Physics · Physics 2010-12-17 Francesco Belgiorno , Sergio L Cacciatori , Francesco Dalla Piazza , Oliver F Piattella

We study charged Dirac quasinormal modes (QNMs) on Reissner-Nordstr\"om-Anti-de Sitter (RN-AdS) black holes with generic Robin boundary conditions, by extending our earlier work of neutral Dirac QNMs on Schwarzschild-AdS black holes. We…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Mengjie Wang , Carlos Herdeiro , Jiliang Jing

The behavior of a massive charged test Dirac field in the background of a Reissner-Nordstr\"om black hole is investigated. Especially, we obtain the frequencies of quasibound states by solving the Dirac equation numerically both in time and…

General Relativity and Quantum Cosmology · Physics 2017-08-17 Yang Huang , Dao-Jun Liu , Xiang-hua Zhai , Xin-zhou Li

We formulate the Dirac equation for a massive neutral spin-half particle on a rotating black hole spacetime, and we consider its (quasi)bound states: gravitationally-trapped modes which are regular across the future event horizon. These…

General Relativity and Quantum Cosmology · Physics 2015-11-13 Sam R Dolan , David Dempsey

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

We investigate charged Dirac quasinormal spectra on Reissner-Nordstr\"om black holes in a mirror-like cavity. For this purpose, we first derive charged Dirac equations, and \textit{two} sets of Robin boundary conditions following the…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Jia Liu , Mengjie Wang , Zishuo Wang , Haoyu Liu , Jinshan An , Jiliang Jing

A stationary solution of the Dirac equation in the metric of a Reissner-Nordstrom black hole has been found. Only one stationary regular state outside the black hole event horizon and only one stationary regular state below the Cauchy…

General Relativity and Quantum Cosmology · Physics 2013-08-28 V. I. Dokuchaev , Yu. N. Eroshenko

Exact solutions of the Dirac general relativistic equation (DE) that describe the dynamics of a massive, electrically charged particle with half-integer spin in the curved spacetime geometry of an electrically charged, rotating…

General Relativity and Quantum Cosmology · Physics 2019-05-06 G. V. Kraniotis

We study the problem of the quantization of the massive charged Dirac field on a naked Reissner-Nordstr\"{o}m background. We show that the introduction of an anomalous magnetic moment for the electron field allows a well--defined quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-31 F. Belgiorno , M. Martellini , M. Baldicchi

We consider the Dirac equation on the Kerr-Newman-AdS black hole background. We first perform the variable separation for the Dirac equation and define the Hamiltonian operator $\hat H$. Then we show that for a massive Dirac field with mass…

Mathematical Physics · Physics 2014-11-18 Francesco Belgiorno , Sergio L. Cacciatori

In a D-dimensional maximally symmetric spacetime we simplify the massless Dirac equation to two decoupled wavelike equations with effective potentials. Furthermore in D-dimensional Schwarzschild and Schwarzschild de Sitter black holes we…

General Relativity and Quantum Cosmology · Physics 2015-06-12 A. Lopez-Ortega

Dirac equation is separable in curved space-time and its solution was found for both spherically and axially symmetric geometry. But most of the works were done without considering the charge of the black hole. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Banibrata Mukhopadhyay

We find the quasinormal modes of the charged scalar and Dirac fields in the background of the rotating charged black holes, described by the Kerr-Newman-de Sitter solution. The dependence of the quasinormal spectrum upon the black hole…

High Energy Physics - Theory · Physics 2014-10-13 R. A. Konoplya , A. Zhidenko

Dirac cloud is in absence in general relativity since the superradiance mechanism fails to work for Dirac fields. For the first time we find a novel mechanism to support Dirac clouds, which is independent on superradiance mechanism. We…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Yang Huang , Hongsheng Zhang

Rotating maximal black holes in four-dimensional de Sitter space, for which the outer event horizon coincides with the cosmological horizon, have an infinite near-horizon region described by the rotating Nariai metric. We show that the…

High Energy Physics - Theory · Physics 2015-05-14 Dionysios Anninos , Thomas Hartman

Spontaneous loss of charge by charged black holes by means of pair-creation of charged Dirac particles is considered. We provide three examples of exact calculations for the spontaneous discharge process for 4D charged black holes by…

General Relativity and Quantum Cosmology · Physics 2009-11-19 F. Belgiorno , S. L. Cacciatori , F. Dalla Piazza

We study Dirac quasinormal modes of Schwarzschild-Anti-de Sitter (Schwarzschild-AdS) black holes, following the generic principle for allowed boundary conditions proposed in \cite{PhysRevD.92.124006}. After deriving the equations of motion…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Mengjie Wang , Carlos Herdeiro , Jiliang Jing

The Reissner-Nordstrom-de Sitter black holes of standard Einstein-Maxwell theory with a cosmological constant have no analogue in dilatonic theories with a Liouville potential. The only exception are the solutions of maximal mass, the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Raphael Bousso

We consider perturbations of the massless Dirac field in the background of a black hole solution found by Bodendorfer, Mele, and M\"{u}nch (BMM), using a polymerization technique that furnishes contributions inspired by Loop Quantum Gravity…

General Relativity and Quantum Cosmology · Physics 2023-08-01 Saulo Albuquerque , Iarley P. Lobo , Valdir B. Bezerra
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