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The exact superposition of a central static black hole with surrounding thin disk in presence of a magnetic field is investigated. We consider two models of disk, one of infinite extension based on a Kuzmin-Chazy-Curzon metric and other…

General Relativity and Quantum Cosmology · Physics 2013-12-09 Antonio C. Gutiérrez-Piñeres , Gonzalo García-Reyes , Guillermo A. González

The origin of magnetic fields in the universe still remains unknown and constitutes one of the most intriguing questions in astronomy and astrophysics. Their significance is enormous since they have a strong influence on many astrophysical…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Anamaría Navarro-Noguera , F. D. Lora-Clavijo , Guillermo A. González

We adapt the well known "displace, cut and reflect" method to construct exact solutions of the Einstein-Maxwell equations corresponding to infinitesimally thin disks of matter endowed with dipole magnetic fields, which are entirely…

General Relativity and Quantum Cosmology · Physics 2017-07-04 Vanessa P. de Freitas , Alberto Saa

An infinite family of relativistic finite thin disk model with magnetic field is presented. The model is obtained for solving the Einstein-Maxwell equations for static spacetimes by means of the Horsk\'y-Mitskievitch generating conjecture.…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-14 Antonio C. Gutiérrez-Piñeres , Guillermo A. González

Applying the Horsk\'y-Mitskievitch conjecture to the empty space solutions of Morgan and Morgan due to the gravitational field of a finite disk, we have obtained the corresponding solutions of the Einstein-Maxwell equations. The resulting…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Antonio C. Gutiérrez-Piñeres , Guillermo A. González

We present estimates of magnetic field in a number of AGNs from the Spectropolarimetric atlas of Smith, Young & Robinson (2002) from the observed degrees of linear polarization and the positional angles of spectral lines (H-alpha) (broad…

High Energy Astrophysical Phenomena · Physics 2015-06-04 N. A. Silant'ev , Yu. N. Gnedin , S. D. Buliga , M. Yu. Piotrovich , T. M. Natsvlishvili

The linear instability of thin, vertically-isothermal Keplerian discs, under the influence of axial magnetic field is investigated. Solutions of the stability problem are found explicitly by asymptotic expansions in the small aspect ratio…

Solar and Stellar Astrophysics · Physics 2015-06-03 E. Liverts , Yu. Shtemler , M. Mond

To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Richard Kerner , Gideon Koekoek , Julia Schuring , Jan-Willem van Holten

A transverse multipole expansion is derived, including the longitudinal components necessarily present in regions of varying magnetic field profile. It can be used for exact numerical orbit following through the fringe field regions of…

Accelerator Physics · Physics 2016-09-08 Yannis Papaphilippou , Jie Wei , Richard Talman

We compute the properties of a geometrically thin, steady accretion disk surrounding a central rotating, magnetized star. The magnetosphere is assumed to entrain the disk over a wide range of radii. The model is simplified in that we adopt…

Astrophysics · Physics 2012-08-13 W. Kluzniak , S. Rappaport

To obtain a simple description of a geometrically thin magnetic accretion disk, we apply the method of asymptotic expansion. For the first time we write a full set of stationary asymptotic approximation equations of a thin magnetic…

Solar and Stellar Astrophysics · Physics 2019-07-31 M. Čemeljić , W. Kluźniak , V. Parthasarathy

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

We obtained equations for a thin magnetic accretion disk, using the method of asymptotic approximation. They cannot be solved analytically-without solutions for a magnetic field in the magnetosphere between the star and the disk, only a set…

Solar and Stellar Astrophysics · Physics 2018-12-24 Miljenko Čemeljić , Varadarajan Parthasarathy , Włodek Kluźniak

We study the motion of a charged particle under the action of a magnetic field with cylindrical symmetry. In particular we consider magnetic fields with constant direction and with magnitude depending on the distance $r$ from the symmetry…

Dynamical Systems · Mathematics 2019-02-05 Paolo Caldiroli , Gabriele Cora

A convenient representation of the structure of the large-scale galactic magnetic field is required for the interpretation of polarization data in the sub-mm and radio ranges, in both the Milky Way and external galaxies. We develop a simple…

Astrophysics of Galaxies · Physics 2019-03-14 Anvar Shukurov , Luiz Felippe S. Rodrigues , Paul J. Bushby , James Hollins , Jorg P. Rachen

We construct a simple model for stationary, axisymmetric black-hole magnetospheres, in which the poloidal magnetic field is generated by a toroidal electric current in a thin disk with the inner edge, by solving the vacuum Maxwell equations…

Astrophysics · Physics 2009-10-31 Akira Tomimatsu , Masaaki Takahashi

Many accreting systems are modeled as geometrically thin disks. Simulations of accretion disks cannot be extended to this regime, although local models can address the behavior of narrow annuli. A global model needs to account for the…

High Energy Astrophysical Phenomena · Physics 2026-01-13 Yossef Zenati , Ethan T. Vishniac , Amir Jafari

Aims: We determine the steady-state of an axisymmetric thin accretion disc with an internal dynamo around a magnetised star. Methods: Starting from the vertically integrated equations of magnetohydrodynamics we derive a single ordinary…

High Energy Astrophysical Phenomena · Physics 2010-01-26 Solomon Belay Tessema , Ulf Torkelsson

We construct three families of general magnetostatic axisymmetric exact solutions of Einstein-Maxwell equations in spherical coordinates, prolate, and oblates. The solutions obtained are then presented in the system of generalized…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Cristian H. García-Duque , Gonzalo García-Reyes

We study the global bending modes of a thin annular disc subject to both an internally generated magnetic field and a magnetic field due to a dipole embedded in the central star with axis aligned with the disc rotation axis. When there is a…

Astrophysics · Physics 2007-05-23 Vasso Agapitou , John C. B. Papaloizou , Caroline Terquem
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