The simplest possible bouncing quantum cosmological model

Abstract

We present and expand the simplest possible quantum cosmological bouncing model already discussed in previous works: the trajectory formulation of quantum mechanics applied to cosmology (through the Wheeler-De Witt equation) in the FLRW minisuper- space without spatial curvature. The initial conditions that were previously assumed were such that the wave function would not change its functional form but instead provide a dynamics to its parameters. Here, we consider a more general situation, in practice con- sisting of modified Gaussian wave functions, aiming at obtaining a non singular bounce from a contracting phase. Whereas previous works consistently obtain very symmetric bounces, we find that it is possible to produce highly non symmetric solutions, and even cases for which multiple bounces naturally occur. We also introduce a means of treating the shear in this category of models by quantizing in the Bianchi I minisuperpace.

10 pages, proceeding of the workshop "Current challenges in cosmology" held in Cali, Colombia, May 18 to 22, 2015

References in corpus (6)

• A Critical Review of Classical Bouncing Cosmologies
• A non inflationary model with scale invariant cosmological perturbations
• Scalar and Vector Perturbations in Quantum Cosmological Backgrounds
• Origin of structure: Statistical characterization of the primordial density fluctuations and the collapse of the wave function
• Smooth Bounce in Affine Quantization of Bianchi I
• Large classical universes emerging from quantum cosmology

Cited by in corpus (10)

• Bouncing Cosmologies: Progress and Problems
• Inflation after Planck: Judgment Day
• Unitary null energy condition violation in $P(X)$ cosmologies
• Quantum empty Bianchi I spacetime with internal time
• Is Bianchi I a Bouncing Cosmology in the Wheeler-DeWitt picture?
• Stochastic inflation and primordial black holes
• Cosmological models with asymmetric quantum bounces
• Baryogenesis in cosmological models with symmetric and asymmetric quantum bounces
• Using Trajectories in Quantum Cosmology
• Quantum Gravity Corrections to the inflationary spectrum in a Bohmian approach