Automorphisms and a cartography of the solution space for vacuum Bianchi cosmologies: The Type III case

DOI10.1063/1.2359141zbMath1112.83018arXivgr-qc/0410123OpenAlexW2094753281MaRDI QIDQ3442055

Petros A. Terzis, Theodosios Christodoulakis

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0410123

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (11)

Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions ⋮ Conditional symmetries and the canonical quantization of constrained minisuperspace actions: the Schwarzschild case ⋮ Further results on non-diagonal: Bianchi type III vacuum metrics ⋮ Classical and quantum analysis of 3D electromagnetic pp-wave spacetime ⋮ Classical and quantum Bianchi type III vacuum Hořava-Lifshitz cosmology ⋮ A nonsingular cosmological model with shear and rotation ⋮ Conservation laws and exact solutions in Brans-Dicke cosmology with a scalar field ⋮ The general solution of Bianchi type VII\(_h\) vacuum cosmology ⋮ Bianchi type II, III and V diagonal Einstein metrics re-visited ⋮ The solution space of the Einstein’s vacuum field equations for the case of five-dimensional Bianchi Type I (Type 4A ₁ ) ⋮ Dynamically equivalent ΛCDMequations with underlying Bianchi Type geometry

Cites Work

• Unnamed Item
• Consequences of the noncompactness of the Lorentz group
• Automorphism inducing diffeomorphisms, invariant characterization of homogeneous 3-spaces and Hamiltonian dynamics of Bianchi cosmologies
• What is a singularity in general relativity?
• A class of homogeneous cosmological models
• Time-dependent automorphism inducing diffeomorphisms in vacuum Bianchi cosmologies and the complete closed form solutions for types II and V
• Bianchi cosmologies: the role of spatial topology
• Spinor sources in cosmology
• Automorphisms of real four-dimensional Lie algebras and the invariant characterization of homogeneous 4-spaces
• Essential constants for spatially homogeneous Ricci-flat manifolds of dimension 4+1
• Dynamical Systems in Cosmology
• Type D Vacuum Metrics

This page was built for publication: Automorphisms and a cartography of the solution space for vacuum Bianchi cosmologies: The Type III case