Spatially-Homogeneous Cosmologies

Abstract

The necessary and sufficient conditions for a perfect fluid solution to define a spatially-homogeneous cosmology are achieved. These conditions are Intrinsic, Deductive, Explicit and ALgorithmic, and they offer an IDEAL labeling of these geometries. When a three-dimensional group acts on the three-dimensional space-like orbits, the Bianchi type of the model is also obtained.

25 pages, 4 figures, 1 supplementary documentation

References in corpus (24)

• Asymptotic dynamics of the exceptional Bianchi cosmologies
• Exact Hypersurface-Homogeneous Solutions in Cosmology and Astrophysics
• An intrinsic characterization of the Kerr metric
• Late-time asymptotic dynamics of Bianchi VIII cosmologies
• On the classification of type D spacetimes
• Initial data sets for the Schwarzschild spacetime
• An intrinsic characterization of spherically symmetric spacetimes
• Intrinsic, deductive, explicit, and algorithmic characterization of the Szekeres-Szafron solutions
• IDEAL characterization of isometry classes of FLRW and inflationary spacetimes
• Future asymptotics of tilted Bianchi type II cosmologies
• A local non-negative initial data scalar characterisation of the Kerr solution
• Late-time behaviour of the tilted Bianchi type VI${}_{-1/9}$ models
• Vacuum type D initial data
• On the relativistic compressibility conditions
• The Big Bang could be anisotropic. The case of Bianchi I model
• An intrinsic characterization of 2+2 warped spacetimes
• Labeling spherically symmetric spacetimes with the Ricci tensor
• IDEAL characterization of higher dimensional spherically symmetric black holes
• Counting the number of Killing vectors in a 3D spacetime
• LRS Bianchi I model with constant deceleration parameter
• Bianchi models with a free massless scalar field: invariant sets and higher symmetries
• Dimension of the isometry group in three-dimensional Riemannian spaces
• Obtaining the multiple Debever null directions
• Dimension of the isometry group in spacetimes with an invariant frame

Cited by in corpus (2)

• Dimension of the isometry group in spacetimes with an invariant frame
• Dimension of the isometry group in type N vacuum solutions: an IDEAL approach