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Cosmological deductions from the relativistic stability of clusters of galaxies


Clusters of galaxies are approximated by the Schwarzschild interior solution (with non-zero cosmological constant) embedded in a Robertson/Walker background. The conditions that the two metrics join up smoothly and that the cluster be stable imply either (a)k=−1 with Λ lying in the range −1.1×10−27≲Λ≲1.5×10−36 (s−2), or (b)k=0. Also, superclustering on a scale larger than 0.5 Mpc is unacceptable unless Λ<0.

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Wesson, P.S. Cosmological deductions from the relativistic stability of clusters of galaxies. Astrophys Space Sci 31, 333–339 (1974).

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  • Cosmological Constant
  • Relativistic Stability
  • Interior Solution