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Tensor Distributions on Signature-changing Space-times
Journal article   Peer reviewed

Tensor Distributions on Signature-changing Space-times

David P Hartley, Robin W. Tucker, Philip A. Tuckey and Tevian Dray
General relativity and gravitation, Vol.32(3), pp.491-503
03/2000
DOI: 10.1023/A:1001928401229
url
https://arxiv.org/pdf/gr-qc/9701046View
Open Access

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.
Tensor distributions Signature-change

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