General Relativity and Gravitation

, Volume 32, Issue 3, pp 491–503

Tensor Distributions on Signature-changing Space-times

  • David Hartley
  • Robin W. Tucker
  • Philip A. Tuckey
  • Tevian Dray

DOI: 10.1023/A:1001928401229

Cite this article as:
Hartley, D., Tucker, R.W., Tuckey, P.A. et al. General Relativity and Gravitation (2000) 32: 491. doi:10.1023/A:1001928401229


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 distributionsSignature-change

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • David Hartley
    • 1
  • Robin W. Tucker
    • 2
  • Philip A. Tuckey
    • 3
  • Tevian Dray
    • 4
  1. 1.Department of Physics and Mathematical PhysicsUniversity of AdelaideAdelaideAustralia
  2. 2.School of Physics and ChemistryLancaster UniversityLancasterUK
  3. 3.Observatoire de BesançonUniversité de Franche-ComtéBesançon CedexFrance
  4. 4.Department of MathematicsOregon State UniversityCorvallisUSA