Rotating Relativistic Thin Disks as Sources of Charged and Magnetized Kerr–nut Space–times

García-Reyes, Gonzalo; González, Guillermo

doi:10.1142/s0218271809015205

Cited by 3 publications

(2 citation statements)

References 43 publications

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“…For instance, in [9] were found four exact solutions of hot disks; later in [10], the counterrotating model for electrovacuum axially symmetric relativistic thin disks without radial stress was presented. Moreover in [11], a family of counterrotating and rotating relativistic thin disks, based on a charged and magnetized Kerr-NUT metric, was constructed. Besides, in [12] were obtained solutions of magnetized Morgan-Morgan Relativistic thin disks.…”

Section: Introductionmentioning

confidence: 99%

General relativistic razor-thin disks with magnetically polarized matter

2018

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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 phenomena. In regards of this motivation, theoretical models of galactic disks with sources of magnetic field may contribute to understand the physics behind them. Inspired by this, we present a new family of analytical models for thin disks composed by magnetized material. The solutions are axially symmetric, conformastatic and are obtained by solving the Einstein-Maxwell Field Equations for continuum media without the test field approximation, and assuming that the sources are razor-thin disk of magnetically polarized matter. We find analytical expressions for the surface energy density, the pressure, the polarization vector, the electromagnetic fields, the mass and the rotational velocity for circular orbits, for two particular solutions. In each case, the energy-momentum tensor agrees with the energy conditions and also the convergence of the mass for all the solutions is proved. Since the solutions are well-behaved, they may be used to model astrophysical thin disks, and also may contribute as initial data in numerical simulations. In addition, the process to obtain the solutions is described in detail, which may be used as a guide to find solutions with magnetized material in General Relativity.

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Section: Introductionmentioning

confidence: 99%

General relativistic razor-thin disks with magnetically polarized matter

2018

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“…Likewise, thin discs have been discussed as sources for Kerr-Newman fields [32,33], magnetostatic axisymmetric fields [34], conformastatic and conformastationary metrics [35][36][37], while models of electrovacuum static counter-rotating dust discs were presented in [38], charged dust discs with an inner edge in [39] and the superposition of counter-rotating charged dust discs with a black hole in [40]. Charged perfect fluid discs were also studied as sources of static [41,42] and Taub-NUT-type spacetimes [43] and rotating relativistic thin discs as sources of charged and magnetized Kerr-NUT spacetimes [44]. Also, charged dipole layers on discs in curved spacetime were considered in [45].…”

Section: Introductionmentioning

confidence: 99%

Stationary axially symmetric relativistic thin discs with nonzero radial pressure

González¹,

Gutiérrez-Piñeres²

2012

Class. Quantum Grav.

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A detailed analysis of the surface energy-momentum (SEMT) tensor of stationary axially symmetric relativistic thin discs with nonzero radial pressure is presented. The physical content of the SEMT is analysed and expressions for the velocity vector, energy density, principal stresses and heat flow are obtained. We also present the counter-rotating model interpretation for these discs by considering the SEMT as the superposition of two counter-rotating perfect fluids. We analyse the possibility of counter-rotation along geodesics as well as counter-rotation with equal and opposite tangential velocities, and explicit expressions for the velocities are obtained in both the cases. By assuming a given choice for the counter-rotating velocities, explicit expressions for the energy densities and pressures of the counter-rotating fluids are then obtained. Some simple thin disc models obtained from the Kerr solution are also presented.

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Exact Relativistic Models of Thin Disks Around Static Black Holes in a Magnetic Field

Gutiérrez-Piñeres

García-Reyes

González

2014

Int. J. Mod. Phys. D

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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 finite based on the first Morgan-Morgan disk. We also analyze a simple model of active galactic nuclei consisting of black hole, a Kuzmin-Chazy-Curzon disk and two rods representing jets, in presence of magnetic field. To explain the stability of the disks we consider the matter of the disk made of two pressureless streams of counterrotating charged particles (counterrotating model) moving along electrogeodesic. Using the Rayleigh criterion we derivate for circular orbits the stability conditions of the particles of the streams. The influence of the magnetic field on the matter properties of the disk and on its stability are also analyzed.

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Rotating Relativistic Thin Disks as Sources of Charged and Magnetized Kerr–nut Space–times

Cited by 3 publications

References 43 publications

General relativistic razor-thin disks with magnetically polarized matter

General relativistic razor-thin disks with magnetically polarized matter

Stationary axially symmetric relativistic thin discs with nonzero radial pressure

Exact Relativistic Models of Thin Disks Around Static Black Holes in a Magnetic Field

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