General Relativistic Cosmology with No Beginning of Time

© 2000. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation Redouane Fakir 2000 ApJ 537 533 DOI 10.1086/309067

0004-637X/537/2/533

Abstract

We find that general relativity can be naturally free of cosmological singularities. Several nonsingular models are currently available that either assume ad hoc matter contents or are nonsingular only over a sector of solution space of zero measure or depart drastically from general relativity at high energies. After much uncertainty over whether cosmological inflation could help solve the initial-singularity problem, the prevailing belief today is that general relativistic cosmology, with inflation or without, is endemically singular. Here a homogeneous and isotropic inflationary cosmology is worked out that is naturally free of singularities, despite the fact that it uses only classical general relativity and assumes only the most generic inflationary matter contents.

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10.1086/309067