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Electrovacuum Static Counter-Rotating Relativistic Dust Disks

2002/12/11 by G. R., Gonzalo García-Reyes, Gonzalo Garcia R. +3 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.69.124002

published as Phys.Rev. D69 (2004) 124002 · 24 pages, 30 figures

arxiv created 2002/12/11 · openalex publication_date 2004/06/02 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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