A NEW SINGULARITY THEOREM BASED ON SPATIAL AVERAGES

by Jose Senovilla (Bilbao)

Wednesday 9 May 2007, 11:00 → 12:00 Europe/Stockholm

FB55

A new singularity theorem is presented: Open, non-rotating, everywhere expanding, universes with non-vanishing spatial average of the matter variables are totally geodesically incomplete to the past. Another way of stating the result is that, under the same conditions, any singularity-free model must have a vanishing spatial average of the energy density (and other physical variables). This is very satisfactory and provides a clear decisive difference between singular and non-singular cosmologies.