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A hypothetical equation of motion is proposed for Kerr-Newman particles. It is obtained by analytic continuation of the Lorentz-Dirac equation into complex space-time. A new class of "runaway" solutions are found which are similar to…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Mark Davidson

We present the first analytical superposition of a charged black hole with an annular disk of extremal dust. In order to obtain the solutions, we first solve the Einstein-Maxwell field equations for sources that represent disk-like…

General Relativity and Quantum Cosmology · Physics 2010-10-07 F. D. Lora-Clavijo , P. A. Ospina-Henao , J. F. Pedraza

We present a method for constructing equilibrium disks with net angular momentum in general relativity. The method solves the relativistic Vlasov equation coupled to Einstein's equations for the gravitational field. We apply the method to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Katrin Schenk , Stuart L. Shapiro , Saul A. Teukolsky

Charged static and rotating objects as solutions of the Einstein-Maxwell field equations are obtained and studied in the present work. The full spacetime geometry is obtained by matching two spacetime regions, an interior region containing…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Marcos L. W. Basso , Vilson T. Zanchin

It is shown that the Kerr-Newman solution, representing charged and rotating stationary black holes, admits analytic extension at the singularity. This extension is obtained by using new coordinates, in which the metric tensor becomes…

General Relativity and Quantum Cosmology · Physics 2017-01-31 Ovidiu-Cristinel Stoica

The well-known ``displace, cut and reflect'' method used to generate disks from given solutions of Einstein field equations is applied to the superposition of twoextreme Reissner-Nordstrom black holes to construct disks made of charged dust…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. Vog , P. S. Letelier

We show the existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the De Sitter-Kerr-Newman metric for small charge and mass of the field and small angular momentum of the black hole. The…

Analysis of PDEs · Mathematics 2020-04-07 Nicolas Besset , Dietrich Häfner

We formulate and solve by semi-analytic means the axisymmetric equilibria of relativistic self-similar disks of infinitesimal vertical thickness. These disks are supported in the horizontal directions against their self-gravity by a…

Astrophysics · Physics 2009-11-07 Mike J. Cai , Frank H. Shu

Extreme mass-ratio inspirals (EMRIs) in relativistic accretion discs are a key science target for the upcoming LISA mission. Existing models of disc-EMRI interactions typically rely on crude dynamical friction or Newtonian planetary…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Conor Dyson , Daniel J. D'Orazio

A rotating metric solution in Einstein-Gauss-Bonnet gravity with a negative cosmological constant was recently found in the Chern-Simons point. We construct a rotating thin shell gluing two spacetimes in Einstein-Gauss-Bonnet gravity, using…

General Relativity and Quantum Cosmology · Physics 2026-04-15 João D. Álvares , Tiago V. Fernandes

An infinite family of finite axisymmetric charged dust disks is presented. The disks are obtained by solving the Einstein-Maxwell equations for conformastatic spacetimes by assuming a functional dependency between the time-like component of…

General Relativity and Quantum Cosmology · Physics 2010-11-22 Guillermo A. González , Antonio C. Gutiérrez-Piñeres , Paolo A. Ospina

We present new rotating vacuum configurations endowed with both dynamical torsion and nonmetricity fields in the framework of Metric-Affine gauge theory of gravity. For this task, we consider scalar-flat Weyl-Cartan geometries and obtain an…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Sebastian Bahamonde , Jorge Gigante Valcarcel

A new family of exact solutions of the Einstein-Maxwell equations for static axially symmetric spacetimes is presented. The metric functions of the solutions are explicitely computed and are simply written in terms of the oblate spheroidal…

General Relativity and Quantum Cosmology · Physics 2009-06-16 Antonio C. Gutiérrez-Piñeres , Guillermo A. González , Viviana M. Viña-Cervantes

The Brown-York quasi-local energy of a charged rotating black hole described by the Kerr-Newman metric and enclosed by a fixed-radius surface is computed. No further assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Bjoern S. Schmekel

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Changjun Gao

An electromagnetic analog of the Kerr-Newman solution in general relativity is derived, based on Minkowski's formulation for electromagnetic fields in moving media. The equivalent system is a distribution of charges and currents largely…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. M. Blinder

A model is proposed for the classical electron as a point charge with finite electromagnetic self-energy. Modifications of the Reissner-Nordstr{\o}m (spin 0) and Kerr-Newman (spin 1/2) solutions of the Einstein-Maxwell equations are…

Mathematical Physics · Physics 2014-11-18 S. M. Blinder

The near horizon geometry of the rotating C-metric, describing accelerating Kerr-Newman black holes, is analysed. It is shown that, at extremality, even though not it is isomorphic to the extremal Kerr-Newman, it remains a warped and…

High Energy Physics - Theory · Physics 2016-07-26 Marco Astorino

We obtain a slowly rotating black hole solution in the scalar-tensor theory of gravity with nonminimal derivative coupling to the Einstein tensor. Properties of the obtained solution have been examined carefully. We also investigate the…

High Energy Physics - Theory · Physics 2018-11-14 M. M. Stetsko

We present a large family of twisting and expanding solutions to the Einstein-Maxwell equations of algebraic type D, for which the two double principal null directions (PNDs) of the Weyl tensor are not aligned with the null eigendirections…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Hryhorii Ovcharenko , Jiří Podolský