Mathematics – Logic
Scientific paper
Aug 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ap%26ss.310..209m&link_type=abstract
Astrophysics and Space Science, Volume 310, Issue 3-4, pp. 209-210
Mathematics
Logic
2
Cosmology, Cosmological Constant, Superclusters, Superstrings
Scientific paper
The generalized Buchdahl inequality in the presence of a positive cosmological constant gives rise to a constraint on the mass density of celestial bodies. We find that such a constraint implies an upper bound on the mass and radius of spherical celestial bodies born from macroscopic superstrings. We obtain a maximal mass of about 1015 solar masses and a maximal radius of about 80 million light years, not far from the observed mass and size of the largest structures in the universe, viz. the superclusters of galaxies.
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