Journal article
Tensor Distributions on Signature-changing Space-times
General relativity and gravitation, Vol.32(3), pp.491-503
03/2000
DOI: 10.1023/A:1001928401229
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 P Hartley - The University of AdelaideRobin W. TuckerPhilip A. TuckeyTevian Dray
- Resource Type
- Journal article
- Publication Details
- General relativity and gravitation, Vol.32(3), pp.491-503
- DOI
- 10.1023/A:1001928401229
- ISSN
- 0001-7701
- eISSN
- 1572-9532
- Language
- English
- Date published
- 03/2000
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984546936802771
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