Causality in Inflationary Universes with Positive Spatial Curvature

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  • 6 September 2001
Abstract
We show that in the case of positively-curved Friedmann-Lemaitre universes (k=+1), an inflationary period in the early universe will almost always not solve the horizon problem, no matter how long inflation lasts. Thus in these models, the causal problems associated with the near-isotropy of the Cosmic Background Radiation have to be solved already in the Planck era. Furthermore both compact space sections and event horizons will exist in these universes even if the present cosmological constant dies away in the far future, raising potential problems for M-theory as a theory of gravity.

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