Mathematics – Logic
Scientific paper
Sep 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38.1347m&link_type=abstract
General Relativity and Gravitation, Volume 38, Issue 9, pp.1347-1354
Mathematics
Logic
12
Einstein&Ndash, De Sitter Universes, Spacetime Matchings, Cosmological Black Holes, Primordial Black Holes
Scientific paper
By matching across a surface of constant time, it is demonstrated that the spacetime for a radiation-dominated Einstein-de Sitter universe can be directly matched to the spacetime for a matter-dominated Einstein-de Sitter universe. Thus, this can serve as a model of a universe filled with radiation that suddenly is converted to matter and antimatter, or a universe filled with matter and antimatter that suddenly annihilates to leave radiation. This matching is shown to hold for asymptotically Einstein-de Sitter cosmological black hole spacetimes, yielding simplistic models of primordial black holes that evolve between being in radiation-dominated universes and matter-dominated universes.
Dyer Charles C.
McClure M. L.
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