The application of a non-static spherically-symmetric metric to clusters of galaxies |
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| Authors: | Paul S Wesson |
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| Institution: | (1) St. John's College, Cambridge University, England;(2) Institute of Astronomy, Cambridge University, England |
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| 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  for the three possible values ofk as  +6×10–36 (k=+1), +3×10–35 (k=0),  +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. |
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