Living Reviews in Relativity

"Spacelike Singularities and Hidden Symmetries of Gravity"
by
Marc Henneaux and Daniel Persson and Philippe Spindel  

Show Subsections

Abstract
1 Introduction
2 The BKL Phenomenon
3 Hyperbolic Coxeter Groups
4 Lorentzian Kac–Moody Algebras
5 Kac–Moody Billiards I – The Case of Split Real Forms
6 Finite-Dimensional Real Lie Algebras
7 Kac–Moody Billiards II – The Case of Non-Split Real Forms
8 Level Decomposition in Terms of Finite Regular Subalgebras
9 Hidden Symmetries Made Manifest – Infinite-Dimensional Coset Spaces
10 Cosmological Solutions from E10
11 Conclusions
12 Acknowledgements
A Proof of Some Important Properties of the Bilinear Form
B Existence and “Uniqueness” of the Aligned Compact Real Form
Open References References
Index
Footnotes
Figures
Tables