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Cylindrically symmetric Zel'dovich fluid distributions in general theory of relativity

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Abstract

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 withp=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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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 721302, Kharagpur, India

    G. Mohanty, R. N. Tiwari & J. R. Rao

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  1. G. Mohanty
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  2. R. N. Tiwari
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  3. J. R. Rao
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Mohanty, G., Tiwari, R.N. & Rao, J.R. Cylindrically symmetric Zel'dovich fluid distributions in general theory of relativity. Int J Theor Phys 21, 105–119 (1982). https://doi.org/10.1007/BF01857849

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