Scalar and Spinor Fields in Signature Changing Spacetimes

Details Scalar and Spinor Fields in Signature Changing Spacetimes Scalar and Spinor Fields in Signature Changing Spacetimes

1993-03-26

arxiv.org/abs/gr-qc/9303033v1

Phys.Rev. D47 (1993) 4328-4333

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages (Latex file), UMDGR-93-28

Scientific paper

10.1103/PhysRevD.47.4328

The propagation of scalar and spinor fields in a spacetime whose metric changes signature is analyzed. Recent work of Dray et al. on particle production from signature change for a (massless) scalar field is reviewed, and an attempt is made to extend their analysis to the case of a (massless) spin-half field. In contrast to their results for a scalar field, it is shown here---for $SL(2,C)$ spinors---that although there are inequivalent forms of the Dirac equation that can be used to propagate a spinor in a signature changing spacetime, none of these forms gives rise to a conserved inner product on the space of solutions to the field equations.

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