Preprint
Tensor distributions on signature-changing space-times
ArXiv.org
Cornell University
01/21/1997
DOI: 10.48550/arxiv.gr-qc/9701046
Abstract
Irregularities in the metric tensor of a signature-changing space-time suggest that field equations on such space-times might be regarded as distributional. We review the formalism of tensor distributions on differentiable manifolds, and examine to what extent rigorous meaning can be given to field equations in the presence of signature-change, in particular those involving covariant derivatives. We find that, for both continuous and discontinuous signature-change, covariant differentiation can be defined on a class of tensor distributions wide enough to be physically interesting.
Details
- Title: Subtitle
- Tensor distributions on signature-changing space-times
- Creators
- David HartleyRobin W TuckerPhilip A TuckeyTevian Dray
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.gr-qc/9701046
- ISSN
- 2331-8422
- Publisher
- Cornell University
- Format
- LaTeX 2.09
- Number of pages
- 9
- Language
- English
- Date posted
- 01/21/1997
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984548668102771
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