Counterrotating perfect fluid discs as sources of electrovacuum static spacetimes

García-Reyes, Gonzalo; González, Guillermo

doi:10.1088/0264-9381/21/21/007

Cited by 15 publications

(26 citation statements)

References 37 publications

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“…On the other hand, thin disks have been discussed as sources for Kerr-Newman fields [32,33], magnetostatic axisymmetric fields [34,35], and conformastatic and conformastationary metrics [36][37][38]. Also, models of electrovacuum static counterrotating dust disks were presented in [39], charged perfect fluid disks were studied in [40], and charged perfect fluid disks as sources of static and Taub-NUT-type spacetimes in [41,42]. Also, monopole and dipole layers in curved spacetimes were analyzed in [43], and electromagnetic sources distributed on shells in a Schwarzschild background in [44].…”

Section: Introductionmentioning

confidence: 99%

Conformastatic disk-haloes in Einstein-Maxwell gravity

2013

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We present a relativistic model describing a thin disk surrounded by a halo in presence of an electromagnetic field. The model is obtained by solving the Einstein-Maxwell equations on a particular conformastatic spacetime background and by using the distributional approach for the energymomentum tensor. A class of solutions is obtained in which the gravitational and electromagnetic potentials are completely determined by a harmonic function only. A particular solution is given that is asymptotically flat and singularity-free, and satisfies all the energy conditions.

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Section: Introductionmentioning

confidence: 99%

Conformastatic disk-haloes in Einstein-Maxwell gravity

2013

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“…These solutions, in the vacuum and static case, correspond to the Morgan and Morgan solutions [2]. A more general class of solutions representating finite thin disks can be constructed using a method based on the use of conformal transformations and solving a boundaryvalue problem [3,6,4,12,23,24].…”

Section: Electrovacuum Rotating Relativistic Thin Disksmentioning

confidence: 99%

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

García-Reyes

González

2009

Int. J. Mod. Phys. D

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A family of models of counterrotating and rotating relativistic thin disks of infinite extension based on a charged and magnetized Kerr-NUT metric are constructed using the well-known "displace, cut and reflect" method extended to solutions of vacuum Einstein-Maxwell equations. The metric considered has as limiting cases a charged and magnetized Taub-NUT solution and the well known Kerr-Newman solutions. We show that for Kerr-Newman fields the eigenvalues of the energy-momentum tensor of the disk are for all the values of the parameters real quantities so that these disks do not present heat flow in any case, whereas for charged and magnetized Kerr-NUT and Taub-NUT fields we find always regions with heat flow. We also find a general constraint over the counterrotating tangential velocities needed to cast the surface energy-momentum tensor of the disk as the superposition of two counterrotating charged dust fluids. We show that, in general, it is not possible to take the two counterrotating fluids as circulating along electrogeodesics nor take the two counterrotating tangential velocities as equal and opposite.

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“…Now, can happen that the obtained solutions do not satisfy any of these two conditions. That is, the counterrotating velocities are, in general, not completely determined by the constraint (30). Thus, the CRM is in general undetermined since the counterrotaing energy densities and pressures can not be explicitly written without a knowledge of the counterrotating tangential velocities.…”

Section: Counterrotating Charged Dust Disksmentioning

confidence: 99%

Rotating and counterrotating relativistic thin disks as sources of stationary electrovacuum spacetimes

García-Reyes¹,

González²

2007

Braz. J. Phys.

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A detailed study is presented of the counterrotating model (CRM) for electrovacuum stationary axially symmetric relativistic thin disks of infinite extension without radial stress, in the case when the eigenvalues of the energy-momentum tensor of the disk are real quantities, so that there is not heat flow. We find a general constraint over the counterrotating tangential velocities needed to cast the surface energy-momentum tensor of the disk as the superposition of two counterrotating charged dust fluids. We then show that, in some cases, this constraint can be satisfied if we take the two counterrotating tangential velocities as equal and opposite or by taking the two counterrotating streams as circulating along electro-geodesics. However, we show that, in general, it is not possible to take the two counterrotating fluids as circulating along electro-geodesics nor take the two counterrotating tangential velocities as equal and opposite. A simple family of models of counterrotating charged disks based on the Kerr-Newman solution are considered where we obtain some disks with a CRM well behaved. We also show that the disks constructed from the Kerr-Newman solution can be interpreted, for all the values of parameters, as a matter distribution with currents and purely azimuthal pressure without heat flow. The models are constructed using the well-known "displace, cut and reflect" method extended to solutions of vacuum Einstein-Maxwell equations. We obtain, in all the cases, counterrotating Kerr-Newman disks that are in agreement with all the energy conditions.

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Counterrotating perfect fluid discs as sources of electrovacuum static spacetimes

Cited by 15 publications

References 37 publications

Conformastatic disk-haloes in Einstein-Maxwell gravity

Conformastatic disk-haloes in Einstein-Maxwell gravity

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

Rotating and counterrotating relativistic thin disks as sources of stationary electrovacuum spacetimes

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