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We argue that the complex transformation relating the Schwarzschild to the Taub-NUT metric, introduced by Talbot, is in fact an electric-magnetic duality transformation. We show that at null infinity, the complex transformation is…

High Energy Physics - Theory · Physics 2020-08-19 Yu-tin Huang , Uri Kol , Donal O'Connell

We construct general-relativistic kinetic models of stationary finite accretion disks in the Kerr spacetime. Our analysis generalizes a previous model of razor-thin accretion disks of collisionless gas in the Kerr spacetime, extending to…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Ghafran Khan , Patryk Mach

In this letter we introduce the noncommutative geometry into the standard Einstein-Hilbert-Maxwell action via the $\partial_t\wedge\partial_\varphi$ Drinfeld twist and solve the equation of motion pertubatively in the expansion of the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Filip Požar

Using three-dimensional general relativistic magnetohydrodynamic simulations with electron and proton thermodynamics and an electron cooling function, we probe the inner radial and vertical structure of weakly magnetized geometrically thin…

High Energy Astrophysical Phenomena · Physics 2025-08-28 A. Hankla , J. Dexter , N. Scepi

We discuss the solution to Einstein's equations for a Lense-Thirring inspired metric describing a slowly rotating black hole coupled to nonlinear electrodynamics. We show that different schemes of rotation for the black hole exist; they…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Claus Lämmerzahl , Marco Maceda , Alfredo Macías

We obtain a new, exact, solution of the Einstein's equation in higher dimensions. The source is given by a static spherically symmetric, Gaussian distribution of mass and charge. De-localization of mass and charge is due to the presence of…

High Energy Physics - Theory · Physics 2009-02-19 Euro Spallucci , Anais Smailagic , Piero Nicolini

In this Letter we investigate uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multi-domain spectral method, which yields highly…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

We study the observational properties of a class of exact solutions of Einstein's field equations describing stationary, axially symmetric, rigidly rotating dust (i.e. non interacting particles). We ask the question whether such solutions…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Batyr Ilyas , Jinye Yang , Daniele Malafarina , Cosimo Bambi

We present a new class of expanding and twisting solutions to the Einstein-Maxwell equations of algebraic type D, where the null eigendirections of the Faraday tensor are not aligned with PNDs of the Weyl tensor. After deriving this novel…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Hryhorii Ovcharenko , Jiri Podolsky

Disks of collisionless particles are important models for certain galaxies and accretion disks in astrophysics. We present here a solution to the stationary axisymmetric Einstein equations which represents an infinitesimally thin dust disk…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Klein , O. Richter

Spherically symmetric static fluid sources are endowed with rotation and embedded in Kerr empty space-time up to an including quadratic terms in an angular velocity parameter using Darmois junction conditions. Einstein's equation's for the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ron Wiltshire

The gravitational and electromagnetic multipole moments of the charged rotating disc of dust, which is an axisymmetric, stationary solution of the Einstein-Maxwell equations in terms of a post-Newtonian expansion, are calculated and…

General Relativity and Quantum Cosmology · Physics 2023-09-26 David Rumler , Reinhard Meinel

An infinite family of exact solutions of the electrovacuum Einstein-Maxwell equations is presented. The family is static, axially symmetric and describe thin disks composed by electrically polarized material in a conformastatic spacetime.…

General Relativity and Quantum Cosmology · Physics 2017-04-24 Anamaria Navarro , F. D. Lora-Clavijo , Guillermo A. González

Source-free equations of nonlinear electrodynamics minimally coupled to gravity admit regular axially symmetric asymptotically Kerr-Newman solutions which describe charged rotating black holes and electromagnetic spinning solitons (lumps).…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Irina Dymnikova

We obtain new solutions of Einsteinian cubic gravity coupled to a Maxwell field that describe the near-horizon geometry of charged and rotating black holes. We show that the AdS$_2\times\mathbb{S}^2$ near-horizon geometry of…

High Energy Physics - Theory · Physics 2020-02-19 Pablo A. Cano , David Pereñiguez

We present a general formulation of special-relativistic magnetohydrodynamics and derive exact radially self-similar solutions for axisymmetric outflows from strongly magnetized, rotating compact objects. We generalize previous work by…

Astrophysics · Physics 2009-11-07 Nektarios Vlahakis , Arieh Konigl

We show that the general solution of Chong, Cvetic, Lu and Pope for nonextremal rotating charged black holes in five-dimensional minimal gauged supergravity, or equivalently in the Einstein-Maxwell-Chern-Simons theory with a negative…

High Energy Physics - Theory · Physics 2009-02-20 Alikram N. Aliev , Dilek K. Ciftci

Singularities in the metric of the classical solutions to the Einstein equations (Schwarzschild, Kerr, Reissner -- Nordstr\"om and Kerr -- Newman solutions) lead to appearance of generalized functions in the Einstein tensor that are not…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mikhail B. Golubev , Stanislav R. Kelner

We investigate static and rotating charged spherically symmetric solutions in the framework of $f({\cal R})$ gravity, allowing additionally the electromagnetic sector to depart from linearity. Applying a convenient, dual description for the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 G. G. L. Nashed , Emmanuel N. Saridakis

We construct relativistic models of charged dust thick disks for a particular conformastatic spacetime through a Miyamoto-Nagai transformation used in Newtonian gravity to model disk like galaxies. Two simple families of thick disk models…

General Relativity and Quantum Cosmology · Physics 2018-05-10 Gonzalo García-Reyes
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