Signature change from Schutz's canonical quantum cosmology and its classical analogue

Details Signature change from Schutz's canonical quantum cosmology and its classical analogue Signature change from Schutz's canonical quantum cosmology and its classical analogue

2008-05-27

arxiv.org/abs/0805.4099v1

Phys.Rev.D77:123529,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 4 figures, to appear in PRD

Scientific paper

10.1103/PhysRevD.77.123529

We study the signature change in a perfect fluid Friedmann-Robertson-Walker quantum cosmological model. In this work the Schutz's variational formalism is applied to recover the notion of time. This gives rise to a Schrodinger-Wheeler-DeWitt equation with arbitrary ordering for the scale factor. We use the eigenfunctions in order to construct wave packets and evaluate the time-dependent expectation value of the scale factor which coincides with the ontological interpretation. We show that these solutions exhibit signature transitions from a finite Euclidean to a Lorentzian domain. Moreover, such models are equivalent to a classical system where, besides the perfect fluid, a repulsive fluid is present.

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