Noether symmetries in extended gravity quantum cosmology

TL;DR

This paper explores how Noether symmetries in extended gravity models help identify conserved quantities that facilitate the emergence of classical universes in quantum cosmology, providing exact solutions in various theories.

Contribution

It demonstrates the application of Noether symmetries to extended gravity models in quantum cosmology, deriving exact solutions and elucidating classical behavior emergence.

Findings

Conserved quantities enable classical behavior recovery in quantum cosmology.

Exact solutions are obtained for scalar-tensor, f(R), and f(T) gravity models.

Noether symmetries serve as selection rules for classical universe emergence.

Abstract

We summarize the use of Noether symmetries in Minisuperspace Quantum Cosmology. In particular, we consider minisuperspace models, showing that the existence of conserved quantities gives selection rules that allow to recover classical behaviors in cosmic evolution according to the so called Hartle criterion. Such a criterion selects correlated regions in the configuration space of dynamical variables whose meaning is related to the emergence of classical observable universes. Some minisuperspace models are worked out starting from Extended Gravity, in particular coming from scalar tensor, f(R) and f(T) theories. Exact cosmological solutions are derived.