Tensor Distributions on Signature-changing Space-times |
| |
| Authors: | David Hartley Robin W Tucker Philip A Tuckey Tevian Dray |
| |
| Institution: | (1) Department of Physics and Mathematical Physics, University of Adelaide, Adelaide, S.A, 5005, Australia;(2) School of Physics and Chemistry, Lancaster University, Lancaster, LA1 4YB, UK;(3) Observatoire de Besançon, Université de Franche-Comté, 25010 Besançon Cedex, France;(4) Department of Mathematics, Oregon State University, Corvallis, Oregon 97331, USA |
| |
| 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. |
| |
| Keywords: | Tensor distributions Signature-change |
| 本文献已被 SpringerLink 等数据库收录！ |
|
