Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity

TL;DR

This paper explores bouncing cosmological models within f(Q) symmetric teleparallel gravity, deriving specific models that produce bounce solutions and analyzing their quantum cosmological implications.

Contribution

It introduces a method to constrain f(Q) models for bouncing cosmology and develops the Hamiltonian formalism and wave function analysis for these models.

Findings

Identified f(Q) models that produce bouncing cosmologies.

Derived the wave function of the universe for these models.

Indicated the potential recovery of classical universes from quantum states.

Abstract

We consider f(Q) extended symmetric teleparallel cosmologies, where Q is the non-metricity scalar, and constrain its functional form through the order reduction method. By using this technique, we are able to reduce and integrate the field equations and thus to select the corresponding models giving rise to bouncing cosmology. The selected Lagrangian is then used to develop the Hamiltonian formalism and to obtain the Wave Function of the Universe which suggests that classical observable universes can be recovered according to the Hartle Criterion.