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Abstract:
It is shown in detail that the dynamics in the vicinity of a spacelike singularity of the D-dimentional Einstein-dilaton-p-form system can be described, at each spatial point, as a billiard motion in a region of hyperbolic space. This is done within the Hamiltonian formalism. A key role is played in the derivation by the Iwasawa decomposition of the spatial metric. We also comment on the strong coupling/small tension limit of the theory.