Velocity-Dominated Singularities in Irrotational Dust Cosmologies
- 1 January 1972
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (1), 99-107
- https://doi.org/10.1063/1.1665859
Abstract
We consider irrotational dust solutions of the Einstein equations. We define ``velocity-dominated'' singularities of these solutions. We show that a velocity-dominated singularity can be considered as a three-dimensional manifold with an invariantly and uniquely defined inner metric tensor, extrinsic curvature tensor, and scalar bang time function. We compute this structure for a variety of known exact models. The structure of the singularity uniquely determines the solution in a certain class of spatially inhomogeneous models. We briefly discuss the b boundary (Schmidt boundary). In an appendix we generalize conformal transformations to ``stretch'' transformations and calculate the curvature form of a stretched metric.Keywords
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