Spatially compact space-times that shrink
- 45 Downloads
A criterion is given under which essential singularities occur in any space-time having compact spacelike slices whose size (measured by a parallelly propagated frame) shrinks to zero, and where there is a timelike congruence with incomplete curves.
KeywordsDifferential Geometry Essential Singularity Spacelike Slice Timelike Congruence Incomplete Curf
Unable to display preview. Download preview PDF.
- 1.Clarke, C. J. S. (1975). Singularities in globally hyperbolic space-time,Commun. Math. Phys.,41, 15–78.Google Scholar
- 2.Clarke, C. J. S. Space-times of low differentiability and singularities,J. Math. Anal. Appl., to appear.Google Scholar
- 3.Hawking, S. W., and Ellis, G. F. R. (1973). The large scale structure of space-time, Cambridge University Press, Cambridge.Google Scholar
- 4.Moncrief, V. E. (1981). An infinite dimensional family of vacuum cosmological models with Taub-NUT-type extensions,Phys. Rev. D,23, 312–315.Google Scholar