Gravitational Billiards, Dualities and Hidden Symmetries
arXiv:gr-qc/0506031
Abstract
The purpose of this article is to highlight the fascinating, but only very incompletely understood relation between Einstein's theory and its generalizations on the one hand, and the theory of indefinite, and in particular hyperbolic, Kac Moody algebras on the other. The elucidation of this link could lead to yet another revolution in our understanding of Einstein's theory and attempts to quantize it.
arXiv comment37 pages, invited contribution to the volume "100 years of relativity spacetime structure: Einstein and beyond", ed. A. Ashtekar
References in corpus (18)
- Quiescent cosmological singularities
- Chaos in Superstring Cosmology
- E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
- The mixmaster universe is chaotic
- The mixmaster universe: A chaotic Farey tale
- Very-extended Kac-Moody algebras and their interpretation at low levels
- Duality in linearized gravity
- Consistent deformations of dual formulations of linearized gravity: A no-go result
- The Symmetry of M-Theories
- G+++ Invariant Formulation of Gravity and M-Theories: Exact BPS Solutions
- A class of Lorentzian Kac-Moody algebras
- M-Theory and U-duality on T^d with Gauge Backgrounds
- Billiard Representation for Multidimensional Cosmology with Multicomponent Perfect Fluid near the Singularity
- Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the Singularity
- G+++ Invariant Formulation of Gravity and M-Theories: Exact Intersecting Brane Solutions
- Signature for local Mixmaster dynamics in U(1) symmetric cosmologies
- Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels
- Kasner-like behaviour for subcritical Einstein-matter systems