English

Spatially-Homogeneous Cosmologies

General Relativity and Quantum Cosmology 2024-09-25 v1

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.

Keywords

Cite

@article{arxiv.2409.15854,
  title  = {Spatially-Homogeneous Cosmologies},
  author = {Juan Antonio Sáez and Salvador Mengual and Joan Josep Ferrando},
  journal= {arXiv preprint arXiv:2409.15854},
  year   = {2024}
}

Comments

25 pages, 4 figures, 1 supplementary documentation

R2 v1 2026-06-28T18:54:59.097Z