7.1 Lessons from homogeneous solutionsTheorems on Existence and Global 6.2 Fuchsian equations

7 Asymptotics of Expanding Cosmological Models 

The aim of this section is to present a picture of the dynamics of forever-expanding cosmological models, by which we mean spacetimes that are maximal globally hyperbolic developments and which can be covered by a foliation by Cauchy surfaces whose mean curvature tex2html_wrap_inline1993 is strictly negative. In contrast to the approach to the big bang considered in Section  8, the spatial topology can be expected to play an important role in the present considerations. Intuitively, it may well happen that gravitational waves have time to propagate all the way around the universe. It will be assumed, as the simplest case, that the spacetimes considered admit a compact Cauchy surface. Then the hypersurfaces of negative mean curvature introduced above have finite volume and this volume is a strictly increasing function of time.





7.1 Lessons from homogeneous solutionsTheorems on Existence and Global 6.2 Fuchsian equations

image Theorems on Existence and Global Dynamics for the Einstein Equations
Alan D. Rendall
http://www.livingreviews.org/lrr-2002-6
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