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Eternal Inflation and Past Incompleteness

Alan Guth

Many inflating spacetimes are likely to violate the weak energy condition, a key assumption of many singularity theorems. In this talk I will describe a recent theorem by Vilenkin, Borde, and me which uses a simple kinematical argument, independent of any energy conditions, to show that a cosmological model that is inflating-- or just expanding sufficiently fast-- must be incomplete in null and timelike past directions. Specifically, we obtained a bound on the integral of the Hubble parameter over a past-directed timelike or null geodesic. Thus inflationary models require physics other than inflation to describe the past boundary of the inflating region of spacetime.

Jeudi, 31 Janvier, 2002 - 15:30
Lieu de Séminaire: 
Room 104, Pavillon René JA Lévesque

Groupe de Physique des particules
​Université de Montréal
C.P. 6128, Succ. Centre-ville,
Montréal, QC H3C 3J7
Tél : 514-343-5607
Fax : 514-343-7357