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Phys. Rev. D 46, 2355–2361 (1992)

Did the Universe have a beginning?

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Alexander Vilenkin
California Institute of Technology, Pasadena, California 91125

Received 3 August 1992; published in the issue dated 15 September 1992

It is argued that ‘‘eternal inflation’’ must have a beginning in time. Conditions are formulated for a spacetime to describe an eternally inflating universe without a beginning, and it is shown that these conditions cannot be satisfied. A rigorous proof is given for a two-dimensional spacetime, and a plausibility argument for four dimensions.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.46.2355
DOI:
10.1103/PhysRevD.46.2355
PACS:
98.80.Bp