Cosmological perturbations and classical change of signature

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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35 pages, latex, 2 figures available at jmartin@ccr.jussieu.fr, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.52.6708

Cosmological perturbations on a manifold admitting signature change are studied. The background solution consists in a Friedmann-Lemaitre-Robertson- Walker (FLRW) Universe filled by a constant scalar field playing the role of a cosmological constant. It is shown that no regular solution exist satisfying the junction conditions at the surface of change. The comparison with similar studies in quantum cosmology is made.

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