Hidden symmetries in a mixmaster-type universe

DOI10.1134/S0202289319010080zbMath1426.83057arXiv1805.12329MaRDI QIDQ2320502

Alexander Pavlov

Publication date: 23 August 2019

Published in: Gravitation \& Cosmology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12329

zbMATH Keywords

Cartan matrixKac-Moody algebrashidden symmetriesmixmaster-type universemultidimensional mixmaster-type vacuum universeWheeler-De Witt space

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relativistic cosmology (83F05) Quantization of the gravitational field (83C45) Kaluza-Klein and other higher-dimensional theories (83E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Einstein billiards and overextensions of finite-dimensional simple Lie algebras
• Dynamics of the mixmaster-type vacuum universe with geometry \(R\times S^ 3\times S^ 3\times S^ 3\)
• Mixmaster model associated to a Borcherds algebra
• Spacelike singularities and hidden symmetries of gravity
• Billiard representation for multidimensional cosmology with intersecting p-branes near the singularity
• The group-theoretical classification of the 11-dimensional classical homogeneous Kaluza–Klein cosmologies
• The dynamics of homogeneous multidimensional cosmological models
• Einstein billiards and spatially homogeneous cosmological models
• Billiard representation for multidimensional cosmology with multicomponent perfect fluid near the singularity
• The Cosmological Singularity
• Multidimensional integrable vacuum cosmology with two curvatures

This page was built for publication: Hidden symmetries in a mixmaster-type universe