Exact relativistic models of conformastatic charged dust thick disks

Abstract

We construct relativistic models of charged dust thick disks for a particular conformastatic spacetime through a Miyamoto-Nagai transformation used in Newtonian gravity to model disk like galaxies. Two simple families of thick disk models and a family of thick annular disks based on the field of an extreme Reissner-Nordström black hole and a Morgan-Morgan-like metric are considered. The electrogeodesic motion of test particles around the structures are analyzed. Also the stability of the particles against radial perturbation is studied using an extension of the Rayleigh criteria of stability of a fluid in rest in a gravitational field. The models built satisfy all the energy conditions.

arXiv comment15 pages, 32 figures. Accepted for publication in Gen. Relativ. Gravit

References in corpus (14)

• Rotating Relativistic Thin Disks
• Disc sources for Conformastationary metrics
• Exact General Relativistic Disks with Magnetic Fields
• Relativistic Static Thin Disks: The Counter-Rotating Model
• Exact General Relativistic Thick Disks
• Exact Relativistic Static Charged Perfect Fluid Disks
• Electrovacuum Static Counter-Rotating Relativistic Dust Disks
• Electrovacuum Static Counterrotating Relativistic Dust Disks
• Finite axisymmetric charged dust disks in conformastatic spacetimes
• Counterrotating perfect fluid discs as sources of electrovacuum static spacetimes
• Exact Relativistic Static Charged Dust Disks and Non-axisymmetric Structures
• Charged Annular Disks and Reissner-Nordström Type Black Holes from Extremal Dust
• General magnetized Weyl solutions: Disks and motion of charged particles
• Exact relativistic models of perfect fluid disks in a magnetic field