2007/04/17 by Paul Tod
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Constant (computer programming) #Cosmological constant #Cosmological principle #Cosmology #Cosmology and Gravitation Theories #Dark energy #Equation of state #Gravitational singularity #Homogeneous #Isotropy #Lambda-CDM model #Mathematical analysis #Mathematical physics #Metric expansion of space #Perfect Cosmological Principle #Perfect fluid #Physics #Quantum mechanics #Relativity and Gravitational Theory #Singularity #Statistical physics #Theoretical physics #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/9/017
published as Class.Quant.Grav.24:2415-2432,2007 · 22 pages;
openalex publication_date 2007/04/17 · arxiv created 2007/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove well-posedness of the initial value problem for the Einstein equations for spatially-homogeneous cosmologies with data at an isotropic cosmological singularity, for which the matter content is either a cosmological constant with collisionless particles of a single mass (possibly zero) or a cosmological constant with a perfect fluid having the radiation equation of state. In both cases, with a positive cosmological constant, these solutions, except possibly for Bianchi-type-IX, will expand forever, and be geodesically-complete into the future.