A New Type of Singularity Theorem
arXiv:0712.1428 · doi:10.1051/eas:0830009
Abstract
A new type of singularity theorem, based on spatial averages of physical quantities, is presented and discussed. Alternatively, the results inform us of when a spacetime can be singularity-free. This theorem provides a decisive observational difference between singular and non-singular, globally hyperbolic, open cosmological models.
6 pages, no figures. Contribution to appear in the Proceedings of the Spanish Relativity Meeting ERE-07, "Relativistic Astrophysics and Cosmology"
References in corpus (10)
- Singularity Theorems and Their Consequences
- A singularity-free space-time
- A singularity theorem based on spatial averages
- A wide family of singularity-free cosmological models
- Ricci Fall-off in Static, Globally Hyperbolic, Non-singular Spacetimes
- Comment on ``Theorem for nonrotating singularity-free universes''
- Singularity-free Cosmological Solutions with Non-rotating Perfect Fluids
- A new singularity theorem in relativistic cosmology
- Non-singular G2 stiff fluid cosmologies
- Comment on Singularity-free Cosmological Solutions with Non-rotating Perfect Fluids