Classical and quantum dynamics of a perfect fluid scalar-energy dependent metric cosmology

• Main Authors: Khodadi, M, Nozari, K, Vakili, B
• Format: Journal Article
• Language: English
• Published: 25-04-2016
• Subjects: Physics - General Relativity and Quantum Cosmology
• DOI: 10.48550/arxiv.1604.03036

Gen. Rel. Grav. 48 (2016) 64 Inspired from the idea of minimally coupling of a real scalar field to
geometry, we investigate the classical and quantum models of a flat
energy-dependent FRW cosmology coupled to a perfect fluid in the framework of
the scalar-rainbow metric gravity. We use the standard Schutz' representation
for the perfect fluid and show that under a particular energy-dependent gauge
fixing, it may lead to the identification of a time parameter for the
corresponding dynamical system. It is shown that, under some circumstances on
the minisuperspace prob energy, the classical evolution of the of the universe
represents a late time expansion coming from a bounce instead of the big-bang
singularity. Then we go forward by showing that this formalism gives rise to a
Schr\"{o}dinger-Wheeler-DeWitt (SWD) equation for the quantum-mechanical
description of the model under consideration, the eigenfunctions of which can
be used to construct the wave function of the universe. We use the resulting
wave function in order to investigate the possibility of the avoidance of
classical singularities due to quantum effects by means of the many-worlds and
Bohmian interpretation of quantum cosmology.