Exact Relativistic Static Charged Dust Disks and Non-axisymmetric Structures

TL;DR

This paper constructs charged dust disk models, including non-axisymmetric structures, using superpositions of extreme Reissner-Nordstrom black holes and analyzes the geodesic motion of test particles in these spacetimes.

Contribution

It introduces a method to generate charged dust disks with non-axisymmetric features from superpositions of black hole solutions.

Findings

Charged dust disks with various symmetries are successfully modeled.

The effective potential for neutral test particles is analyzed in these spacetimes.

Non-axisymmetric distributions exhibit distinct geodesic behaviors.

Abstract

The well-known ``displace, cut and reflect'' method used to generate disks from given solutions of Einstein field equations is applied to the superposition of twoextreme Reissner-Nordstrom black holes to construct disks made of charged dust and alsonon-axisymmetric planar distributions of charged dust on the z=0 plane. They are symmetric with respect to twoor one coordinate axes, depending whether the black holes have equal or unequal masses, respectively.For these non-axisymmetric distributions of matter we also study the effective potential for geodesic motion of neutral test particles.