Comment on `Smooth and Discontinuous Signature Type Change in General Relativity'

Details Comment on `Smooth and Discontinuous Signature Type Change in General Relativity' Comment on `Smooth and Discontinuous Signature Type Change in General Relativity'

1996-10-26

arxiv.org/abs/gr-qc/9610062v1

Gen. Rel. Grav. 28, 1401-1408 (1996)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Plain TeX, 6 pages; Comment on Kossowski and Kriele: Class. Quantum Grav. 10, 2363 (1993); Reply by Kriele: Gen. Rel. Grav. 28

Scientific paper

10.1007/BF02109530

Kossowski and Kriele derived boundary conditions on the metric at a surface of signature change. We point out that their derivation is based not only on certain smoothness assumptions but also on a postulated form of the Einstein field equations. Since there is no canonical form of the field equations at a change of signature, their conclusions are not inescapable. We show here that a weaker formulation is possible, in which less restrictive smoothness assumptions are made, and (a slightly different form of) the Einstein field equations are satisfied. In particular, in this formulation it is possible to have a bounded energy-momentum tensor at a change of signature without satisfying their condition that the extrinsic curvature vanish.

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