Self-adjoint extensions and Signature Change

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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7 pages, REVTEX

Scientific paper

10.1088/0264-9381/12/9/001

We study the selfadjoint extensions of the spatial part of the D'Alembert
operator in a spacetime with two changes of signature. We identify a set of
boundary conditions, parametrised by U(2) matrices, which correspond to
Dirichlet boundary conditions for the fields, and from which we argue against
the suggestion that regions of signature change can isolate singularities.

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