Cosmological Billiards TeX Export

@article{citeulike:5791432, abstract = {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 an hyperboloid in the space of logarithmic scale factors). This is done within the Hamiltonian formalism, and for an arbitrary number of spacetime dimensions \$D \geq 4\$. A key role in the derivation is played by the Iwasawa decomposition of the spatial metric, and by the fact that the off-diagonal degrees of freedom, as well as the p-form degrees of freedom, get ``asymptotically frozen'' in this description. For those models admitting a Kac-Moody theoretic interpretation of the billiard dynamics we outline how to set up an asymptotically equivalent description in terms of a one-dimensional non-linear sigma-model formally invariant under the corresponding Kac-Moody group.}, archivePrefix = {arXiv}, author = {Damour, T. and Henneaux, M. and Nicolai, H.}, citeulike-article-id = {5791432}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0212256}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0212256}, day = {20}, eprint = {hep-th/0212256}, month = {Dec}, posted-at = {2009-09-16 13:21:36}, priority = {2}, title = {Cosmological Billiards}, url = {http://arxiv.org/abs/hep-th/0212256}, year = {2002} }

TY - JOUR ID - citeulike:5791432 L3 - citeulike-article-id:5791432 N2 - 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 an hyperboloid in the space of logarithmic scale factors). This is done within the Hamiltonian formalism, and for an arbitrary number of spacetime dimensions $D \geq 4$. A key role in the derivation is played by the Iwasawa decomposition of the spatial metric, and by the fact that the off-diagonal degrees of freedom, as well as the p-form degrees of freedom, get ``asymptotically frozen'' in this description. For those models admitting a Kac-Moody theoretic interpretation of the billiard dynamics we outline how to set up an asymptotically equivalent description in terms of a one-dimensional non-linear sigma-model formally invariant under the corresponding Kac-Moody group. TI - Cosmological Billiards AU - Damour, T AU - Henneaux, M AU - Nicolai, H PY - 2002/Dec/20/ UR - http://arxiv.org/abs/hep-th/0212256 ER -