Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-12-20
Gen.Rel.Grav. 32 (2000) 673-696
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTex file, 22 pag., no figures, to appear in Gen. Rel. Grav
Scientific paper
The existence of a Noether symmetry for a given minisuperspace cosmological model is a sort of selection rule to recover classical behaviours in cosmic evolution since oscillatory regimes for the wave function of the universe come out. The so called Hartle criterion to select correlated regions in the configuration space of dynamical variables can be directly connected to the presence of a Noether symmetry and we show that such a statement works for generic extended theories of gravity in the framework of minisuperspace approximation. Examples and exact cosmological solutions are given for nonminimally coupled and higher--order theories.
Capozziello Salvatore
Lambiase Gaetano
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