Lie algebra automorphisms as Lie-point symmetries and the solution space for Bianchi type I, II, IV, V vacuum geometries

DOI10.1088/0264-9381/29/23/235007zbMath1258.83018arXiv1007.1561OpenAlexW2036981975WikidataQ115293941 ScholiaQ115293941MaRDI QIDQ4900406

Petros A. Terzis, Theodosios Christodoulakis

Publication date: 24 January 2013

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1561

zbMATH Keywords

Bianchi type Painlevé transcendent Lie-group symmetry vacuum geometries

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Gravitational energy and conservation laws; groups of motions (83C40) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15) Lie algebras of linear algebraic groups (17B45) Gravitational waves (83C35)

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Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions ⋮ Non-diagonal four-dimensional cohomogeneity-one Einstein metrics in various signatures ⋮ The collapsing geometry of almost Ricci-flat 4-manifolds ⋮ Conditional symmetries and the canonical quantization of constrained minisuperspace actions: the Schwarzschild case ⋮ Classical and quantum Bianchi type III vacuum Hořava-Lifshitz cosmology ⋮ The solution space of the Einstein’s vacuum field equations for the case of five-dimensional Bianchi Type I (Type 4A ₁ ) ⋮ An Evolutionary Approach to the Automatic Classification of Automorphisms of Lower-Dimensional Lie Algebras

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