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Billiard Dynamics of Einstein-Matter Systems Near a Spacelike Singularity

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Damour, T., Henneaux, M., & Nicolai, H. (2005). Billiard Dynamics of Einstein-Matter Systems Near a Spacelike Singularity. In A. Gomberoff, & D. Marolf (Eds.), Lectures on Quantum Gravity (pp. 207-247). Berlin, New York: Springer.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4FAF-D
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 rôle 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.