Cosmological billiards

@inproceedings{Damour2002CosmologicalB,
  title={Cosmological billiards},
  author={Thibault Damour and Marc Henneaux and Hermann Nicolai},
  year={2002}
}
It is shown in detail that the dynamics of the Einstein-dilaton-p-form system in the vicinity of a spacelike singularity can be asymptotically described, at a generic spatial point, as a billiard motion in a region of Lobachevskii space (realized as a hyperboloid in the space of logarithmic scale factors). This is done within the Hamiltonian formalism, and for an arbitrary number of spacetime dimensions D 4. A key role in the derivation is played by the Iwasawa decomposition of the spatial… CONTINUE READING
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