"Spacelike Singularities and Hidden Symmetries of Gravity"
by
Marc Henneaux and Daniel Persson and Philippe Spindel
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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
11
Conclusions
12
Acknowledgements
A
Proof of Some Important Properties of the Bilinear Form
B
Existence and “Uniqueness” of the Aligned Compact Real Form
References
Index
Footnotes
Figures
Tables