The application of a non-static spherically-symmetric metric to clusters of galaxies

Physics

Scientific paper

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

Scientific paper

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 Lambda for the three possible values of k as equal to +6 times 10 to the -36th power for k = +1, +3 times 10 to the -35th power for k = 0, and +10 to the -36th power for 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.

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