The bundle boundary in some special cases
- 1 May 1977
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (5) , 898-902
- https://doi.org/10.1063/1.523357
Abstract
We examine a class of two-dimensional Lorentz manifolds which are ’’singular’’ in a certain sense. It is shown that, for such a manifold (M, g), the bundle boundary is a single point whose only neighborhood is all of M̄ [the bundle completion of M; see B. G. Schmidt, Gen. Rel. Gravitation 1, 269–80 (1971)]. The four-dimensional Schwarzschild and Friedmann–Robertson–Walker solutions are then investigated. We show that the bundle completions of these spaces are not Hausdorff.Keywords
This publication has 2 references indexed in Scilit:
- A new definition of singular points in general relativityGeneral Relativity and Gravitation, 1971
- Local Characterization of Singularities in General RelativityJournal of Mathematical Physics, 1968