The Application of a NonStatic SphecicallySymmetric Metric to Clusters of Galaxies
Abstract
An approximate metric is found which represents a sphere of matter embedded in a background of dust. The use of this metric in conjunction with the Friedmann equations gives values of Λ for the three possible values ofk as Λ≃+6×10^{36} (k=+1), Λ≃+3×10^{35} (k=0), Λ≈+10^{36} (k=1). These values depend on data regarding clusters of galaxies, and are probably accurate to within an order of magnitude given the correctness of the assumptions on which their derivation rests.
 Publication:

Astrophysics and Space Science
 Pub Date:
 December 1974
 DOI:
 10.1007/BF00644091
 Bibcode:
 1974Ap&SS..31..341W
 Keywords:

 Astronomical Models;
 Cosmology;
 Galactic Clusters;
 Metric Space;
 Approximation;
 Cosmic Dust;
 Field Theory (Physics);
 Ideal Fluids;
 Mathematical Models;
 Schwarzschild Metric;
 Astrophysics