Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity

Minisuperspace Quantum Cosmology is an approach by which it possible to infer initial conditions for dynamical systems can suitably represent observable and non-observable universes. Here we discuss theories of gravity which, from various points view, extend Einstein’s General Relativity. Specifically, the Hamiltonian formalism f(R), f(T), f(G) gravity, with R, T, G being curvature, torsion Gauss–Bonnet scalars, respectively, developed starting Arnowitt–Deser–Misner approach. The derived all these models cosmological solutions are obtained thanks existence Noether symmetries. Hartle criterion allows interpretation in view