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Global existence results in the past time direction of cosmological modelswith collisionless matter and a massless scalar field are presented. It isshown that the singularity is crushing and that the Kretschmann scalar divergesuniformly as the singularity is approached. In the case without Vlasov matter,the singularity is velocity dominated and the generalized Kasner exponentsconverge at each spatial point as the singularity is approached

On the nature of initial singularities for solutions of the Einstein–Vlasov-scalar field system with surface symmetry