Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..54..489w&link_type=abstract
Astrophysics and Space Science, vol. 54, no. 2, Apr. 1978, p. 489-495. Research supported by the National Research Council of C
Astronomy and Astrophysics
Astrophysics
9
Astronomical Models, Big Bang Cosmology, Einstein Equations, Relativity, Density (Number/Volume), Hierarchies, Partial Differential Equations, Spheres
Scientific paper
An exact solution of Einstein's equation is stated in which the density, pressure, scale factor and metric coefficients are functions of only one dimensionless self-similar variable, ct/R, where t is cosmic time and R is a co-moving radial coordinate. The solution represents a cosmology that begins as a static sphere having the density proportional to 1/(R squared) and evolves into an expanding model which is pressure-free and has a hierarchical type of density law (density proportional to R to the minus theta power, approximately, with theta a number, 0 less than or equal to theta less than or equal to 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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