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ES3 - Exact Solutions (Physical Aspects)

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Lecian, Orchidea Maria

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An analysis of the symmetries of cosmological billiards

Abstract

The symmetries of cosmological billiards are analyzed. Particular attention is devoted to the classification of the initial conditions, with respcet to their continued-fraction decomposition, as far as their characterization allows one to discriminate between singular universes (i.e. the billiard ball reaches the corners of the billiard and therefore the cosmological singularity) and non-singular ones (i.e. the corners of the billiard are never reached by the billiard ball); among the initial conditions giving rise to non-singular universes, in particular, periodic configurations are investigated according to their role in the description of the stochastization of the original BKL dynamics.

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