1205.1881 (Ellery Ames et al.)

Quasilinear hyperbolic Fuchsian systems and AVTD behavior in T2
symmetric vacuum spacetimes    [PDF]

Ellery Ames, Florian Beyer, James Isenberg, Philippe G. LeFloch

We set up the singular initial value problem for quasilinear hyperbolic Fuchsian systems of first order and establish a well-posedness theory for this problem with smooth data and smooth coefficients. We apply this theory in order to show the existence of smooth (although not analytic) T2 symmetric solutions to the vacuum Einstein equations, which exhibit AVTD (asymptotically velocity term dominated) behavior in the neighborhood of their singularities and are polarized or half-polarized.

View original: http://arxiv.org/abs/1205.1881