Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity

Abstract

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

15 pages; accepted for publication in "Universe"

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Cited by in corpus (7)

• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Early and late time cosmology: the $f(R)$ gravity perspective
• WKB Approaches to Restore Time in Quantum Cosmology: Predictions and Shortcomings
• The Noether Symmetry Approach: Foundation and applications. The case of scalar-tensor Gauss-Bonnet gravity
• Minisuperspace Cosmology in Extended Geometric Trinity of Gravity
• Extended Theories of Electrodynamics in $f(R)$ Gravity