Cylindrically Symmetric Zel'dovich Fluid Distributions in General Theory of Relativity

Physics

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Scientific paper

The problem of charged perfect fluid distribution is investigated when the space-time is described by the Einstein-Rosen metric. It is shown that with assumed cylindrical symmetry the cosmological constant Λ vanishes, the electromagnetic field becomes source-free, and the perfect fluid reduces to Zel'dovich fluid with p=ϱ. Sets of exact solutions for this case have been obtained and the corresponding solutions for Brans-Dicke-Maxwell fields have been derived. For these solutions the Einstein-Rosen metric, however, goes over to three-parameter Marder metric in Brans-Dicke theory.

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