Exact Relativistic Static Charged Dust Disks and Non-axisymmetric Structures
General Relativity and Quantum Cosmology
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/0406007,
title = {Exact Relativistic Static Charged Dust Disks and Non-axisymmetric Structures},
author = {D. Vog and P. S. Letelier},
journal= {arXiv preprint arXiv:gr-qc/0406007},
year = {2009}
}
Comments
Classical and Quantum Gravity (in press). 15 pages, LaTex, 8 .eps figs