Exact Relativistic Static Charged Dust Disks and Non-axisymmetric Structures
arXiv:gr-qc/0406007 · doi:10.1088/0264-9381/21/14/003
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.
Classical and Quantum Gravity (in press). 15 pages, LaTex, 8 .eps figs
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