  Global existence results in the past time direction of cosmological models
with collisionless matter and a massless scalar field are presented. It is
shown that the singularity is crushing and that the Kretschmann scalar diverges
uniformly as the singularity is approached. In the case without Vlasov matter,
the singularity is velocity dominated and the generalized Kasner exponents
converge at each spatial point as the singularity is approached.

General Relativity and Quantum Cosmology