A class of stationary charged dust solutions of Einstein's field equations

Details A class of stationary charged dust solutions of Einstein's field equations A class of stationary charged dust solutions of Einstein's field equations

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23.1337p&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 12, pp.1337-1348

Mathematics

Logic

1

Scientific paper

We consider a special class of stationary rotating charged dust solutions of Einstein's field equations without cosmological constant. In these space-times, the motion of freely falling particles and of light rays can be visualized by the motion of charged particles in an appropriate model magnetic field. Any curl-free magnetostatic field, given on an open subset of Euclidean 3-space, can serve as a model magnetic field for a charged dust solution in this sense. The simplest example, corresponding to a homogeneous model magnetic field, is given by Som-Raychaudhuri space-time. Some other examples are worked out.

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