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General-relativistic hierarchical cosmology: An exact model

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Abstract

An exact solution of Einstein's equation is stated in which the density (ϱ), pressure (p), scale factorS and metric coefficients are functions of only one dimensionless self-similar variable,ct/R, wheret is cosmic time andR is a co-moving radial coordinate. The solution represents a cosmology that begins as a static sphere having ϱ ∝R −2 and evolves into an expanding model which is pressure-free and has a hierarchical type of density law (ϱ ∝R −θ, approximately, with θ=a number, 0≤θ≤2). It is suggested that this model should supersede the previous models of Wesson and other workers, since it appears to be the simplest cosmology for a hierarchy.

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Authors and Affiliations

  1. St John's College, Cambridge University, England

    Paul S. Wesson

  2. Dept. of Physics, Queen's University, Kingston, Ontario, Canada

    Paul S. Wesson

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  1. Paul S. Wesson
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Wesson, P.S. General-relativistic hierarchical cosmology: An exact model. Astrophys Space Sci 54, 489–495 (1978). https://doi.org/10.1007/BF00639451

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  • DOI: https://doi.org/10.1007/BF00639451

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