Einstein's Equations in the Presence of Signature Change

Details Einstein's Equations in the Presence of Signature Change Einstein's Equations in the Presence of Signature Change

1996-10-26

arxiv.org/abs/gr-qc/9610064v1

J.Math.Phys. 37 (1996) 5627-5636

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX, 8 pages; to appear in JMP

Scientific paper

10.1063/1.531730

We discuss Einstein's field equations in the presence of signature change using variational methods, obtaining a generalization of the Lanczos equation relating the distributional term in the stress tensor to the discontinuity of the extrinsic curvature. In particular, there is no distributional term in the stress tensor, and hence no surface layer, precisely when the extrinsic curvature is continuous, in agreement with the standard result for constant signature.

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