Generic metrics satisfy the generic condition

We prove that the "generic condition" used in singularity theorems of general relativity is generic in the space of Lorentzian metrics on a given manifold, in the sense that it is satisfied for all metrics in a residual set in the Whitney \(C^k\)-topology, for \(k\) depending on the dimens...

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Bibliographic Details
Published in:arXiv.org 2017-01
Main Author: Larsson, Eric
Format: Article
Language:English
Subjects:
Manifolds (mathematics)
Relativity
Topology
Online Access:Get full text
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Summary:We prove that the "generic condition" used in singularity theorems of general relativity is generic in the space of Lorentzian metrics on a given manifold, in the sense that it is satisfied for all metrics in a residual set in the Whitney \(C^k\)-topology, for \(k\) depending on the dimension of the manifold.
ISSN:2331-8422