Maximal mass and size of celestial bodies born from superstrings

Mathematics – Logic

Scientific paper

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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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