Abstract
We show how the usual Hamiltonian formalism of general relativity should be modified in order to allow the inclusion of the Euclidean classical solutions of Einstein’s equations. We study the effect that the dynamical change of signature has on superspace and we prove that it induces a passage of the signature of the supermetric from (-+++++) to (+-----). Next, all these features are more particularly studied in the example of minisuperspaces. Finally, we consider the problem of quantization of the Euclidean solutions. The consequences of different choices of boundary conditions are examined.
- Received 29 November 1993
DOI:https://doi.org/10.1103/PhysRevD.49.5086
©1994 American Physical Society