Electrovacuum Static Counter-Rotating Relativistic Dust Disks

Details Electrovacuum Static Counter-Rotating Relativistic Dust Disks Electrovacuum Static Counter-Rotating Relativistic Dust Disks

2002-12-11

arxiv.org/abs/gr-qc/0212051v1

Phys.Rev. D69 (2004) 124002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 30 figures

Scientific paper

A detailed study of the Counter-Rotating Model (CRM) for generic electrostatic (magnetostatic) axially symmetric thin disks without radial pressure is presented. We find a general constraint over the counter-rotating tangential velocities needed to cast the surface energy-momentum tensor of the disk as the superposition of two counter-rotating charged dust fluids. We then show that this constraint is satisfied if we take the two counter-rotating streams as circulating along electrogeodesics with equal and opposite tangential velocities. We also find explicit expressions for the energy densities, electrostatic (magnetostatic) charge densities and velocities of the counter-rotating fluids. Three specific examples are considered where we obtain some CRM well behaved based in simple solutions to the Einstein-Maxwell equations. The considered solutions are Reissner-Nordstrom in the electrostatic case, its magnetostatic counterpart and two solutions obtained from Taub-NUT and Kerr solutions.

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