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Exact relativistic static charged dust discs and non-axisymmetric structures

2004/06/02 by D. Vog, D Vogt, P. S. Letelier +1 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.1088/0264-9381/21/14/003

published as Class.Quant.Grav. 21 (2004) 3369-3378 · Classical and Quantum Gravity (in press). 15 pages, LaTex, 8 .eps figs

arxiv created 2004/06/02 · openalex publication_date 2004/06/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The well-known 'displace, cut and reflect' method used to generate discs from given solutions of Einstein field equations is applied to the superposition of two extreme Reissner–Nordström black holes to construct discs made of charged dust and also non-axisymmetric planar distributions of charged dust on the z = 0 plane. They are symmetric with respect to two or one coordinate axes, depending on 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.

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