Spacelike Singularities and Hidden Symmetries of Gravity
@article{Henneaux2007SpacelikeSA,
title={Spacelike Singularities and Hidden Symmetries of Gravity},
author={Marc Henneaux and Daniel Persson and Philippe Spindel},
journal={Living Reviews in Relativity},
year={2007},
volume={11}
}We review the intimate connection between (super-)gravity close to a spacelike singularity (the “BKL-limit”) and the theory of Lorentzian Kac-Moody algebras. We show that in this limit the gravitational theory can be reformulated in terms of billiard motion in a region of hyperbolic space, revealing that the dynamics is completely determined by a (possibly infinite) sequence of reflections, which are elements of a Lorentzian Coxeter group. Such Coxeter groups are the Weyl groups of infinite…
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