A new approach to inhomogeneous cosmologies: Intrinsic symmetries. I
- 1 November 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (11) , 2347-2353
- https://doi.org/10.1063/1.524017
Abstract
After briefly discussing systematic ways of studying inhomogeneous cosmologies, we propose the technique of ’’intrinsic symmetries,’’ in which restrictions are placed on submanifolds of space–time. This leads to a broad classification of inhomogeneous cosmologies, and to an associated specialization diagram. By enforcing additional restrictions we obtain a further useful specialization.Keywords
This publication has 23 references indexed in Scilit:
- Note on the spacetimes of SzekeresPhysical Review D, 1977
- Closed gravitational−wave universes: Analytic solutions with two−parameter symmetryJournal of Mathematical Physics, 1975
- Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditionsAnnals of Physics, 1974
- Why is the Universe Isotropic?The Astrophysical Journal, 1973
- Solutions of Einstein's Equations for a Fluid Which Exhibit Local Rotational SymmetryJournal of Mathematical Physics, 1968
- Large-scale Density Inhomogeneities in the UniverseNature, 1968
- Dynamics of Pressure-Free Matter in General RelativityJournal of Mathematical Physics, 1967
- Isentropic Hydrodynamics in Plane Symmetric Space-TimesPhysical Review B, 1956
- Relativistic Cosmology. IPhysical Review B, 1955
- Empty Space-Times Admitting a Three Parameter Group of MotionsAnnals of Mathematics, 1951