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Tensor distributions on signature-changing space-times

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Tensor distributions on signature-changing space-times. / Hartley, David; Tucker, Robin; Tuckey, P. A. et al.
In: General Relativity and Gravitation, Vol. 32, No. 3, 03.2000, p. 491-503.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hartley, D, Tucker, R, Tuckey, PA & Dray, T 2000, 'Tensor distributions on signature-changing space-times', General Relativity and Gravitation, vol. 32, no. 3, pp. 491-503. https://doi.org/10.1023/A:1001928401229

APA

Hartley, D., Tucker, R., Tuckey, P. A., & Dray, T. (2000). Tensor distributions on signature-changing space-times. General Relativity and Gravitation, 32(3), 491-503. https://doi.org/10.1023/A:1001928401229

Vancouver

Hartley D, Tucker R, Tuckey PA, Dray T. Tensor distributions on signature-changing space-times. General Relativity and Gravitation. 2000 Mar;32(3):491-503. doi: 10.1023/A:1001928401229

Author

Hartley, David ; Tucker, Robin ; Tuckey, P. A. et al. / Tensor distributions on signature-changing space-times. In: General Relativity and Gravitation. 2000 ; Vol. 32, No. 3. pp. 491-503.

Bibtex

@article{841089c545614e6c84e0ab5535107dda,
title = "Tensor distributions on signature-changing space-times",
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.",
author = "David Hartley and Robin Tucker and Tuckey, {P. A.} and Tevian Dray",
year = "2000",
month = mar,
doi = "10.1023/A:1001928401229",
language = "English",
volume = "32",
pages = "491--503",
journal = "General Relativity and Gravitation",
issn = "0001-7701",
publisher = "Springer New York",
number = "3",

}

RIS

TY - JOUR

T1 - Tensor distributions on signature-changing space-times

AU - Hartley, David

AU - Tucker, Robin

AU - Tuckey, P. A.

AU - Dray, Tevian

PY - 2000/3

Y1 - 2000/3

N2 - 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.

AB - 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.

U2 - 10.1023/A:1001928401229

DO - 10.1023/A:1001928401229

M3 - Journal article

VL - 32

SP - 491

EP - 503

JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

SN - 0001-7701

IS - 3

ER -