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Exact relativistic static charged dust discs and non-axisymmetric structures

D Vogt1 and P S Letelier2

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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.


PACS

04.70.-s Physics of black holes

97.60.Lf Black holes

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

MSC

83C57 Black holes

83C22 Einstein-Maxwell equations

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 14 (21 July 2004)

Received 16 April 2004

Published 18 June 2004



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