1998/04/30 by Neil Humphreys, Neil P. Humphreys, Roy Maartens +2 · 27 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Conjecture #Cosmology and Gravitation Theories #Differential geometry #General relativity #Geometry #Matching (statistics) #Mathematical physics #Mathematics #Metric (unit) #Null (SQL) #Physics #Pure mathematics #Theoretical physics #Topology (electrical circuits) #Torus #astro-ph.CO #gr-qc
paper · pdf · doi:10.1007/s10714-012-1452-2
published in General Relativity and Gravitation 44(12), 3197-3215 (Springer Science+Business Media) · Minor improvements, additional references. Accepted by GRG
openalex publication_date 2012/09/15 · arxiv created 2012/09/20 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Physical (and weak) regularity conditions are used to determine and classify all the possible types of spherically symmetric dust spacetimes in general relativity. This work unifies and completes various earlier results. The junction conditions are described for general non-comoving (and non-null) surfaces, and the limits of kinematical quantities are given on all comoving surfaces where there is Darmois matching. We show that an inhomogeneous generalisation of the Kantowski-Sachs metric may be joined to the Lemaitre-Tolman-Bondi metric. All the possible spacetimes are explicitly divided into four groups according to topology, including a group in which the spatial sections have the topology of a 3-torus. The recollapse conjecture (for these spacetimes) follows naturally in this approach.