The general solution of Bianchi type VII\(_h\) vacuum cosmology

DOI10.1007/s10714-008-0678-5zbMath1182.83003arXiv0803.3710OpenAlexW3100177209MaRDI QIDQ1016000

Petros A. Terzis, Theodosios Christodoulakis

Publication date: 4 May 2009

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3710

zbMATH Keywords

cosmologyLie symmetriesBianchi typesexact solutions of Einstein equations

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (9)

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 ⋮ The limit dynamics for the vacuum Einstein equations in a homogeneous universe ⋮ Further results on non-diagonal: Bianchi type III vacuum metrics ⋮ Classical and quantum Bianchi type III vacuum Hořava-Lifshitz cosmology ⋮ Conservation laws and exact solutions in Brans-Dicke cosmology with a scalar field ⋮ The solution space of the Einstein’s vacuum field equations for the case of five-dimensional Bianchi Type I (Type 4A ₁ ) ⋮ Lukash plane waves, revisited ⋮ Dynamically equivalent ΛCDMequations with underlying Bianchi Type geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A closed-form solution in a dynamical system related to Bianchi IX
• The dynamical degrees of freedom in spatially homogeneous cosmology
• 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
• The general solution of Bianchi type III vacuum cosmology
• Automorphisms and a cartography of the solution space for vacuum Bianchi cosmologies: The Type III case
• Spinor sources in cosmology
• A class of homogeneous Einstein-Maxwell fields
• Exact Solutions of Einstein's Field Equations
• Automorphisms of real four-dimensional Lie algebras and the invariant characterization of homogeneous 4-spaces
• Empty space-times admitting a three parameter group of motions

This page was built for publication: The general solution of Bianchi type VII\(_h\) vacuum cosmology