Bouncing Quantum Cosmology

The goal of this contribution is to present the properties of a class of quantum bouncing models in which the quantum bounce originates from the Dirac canonical quantization of a midi-superspace model composed of a homogeneous and isotropic background, together with small inhomogeneous perturbations. The resulting Wheeler-DeWitt equation is interpreted in the framework of the de Broglie-Bohm quantum theory, enormously simplifying the calculations, conceptually and technically. It is shown that the resulting models are stable and they never get to close to the Planck energy, where another more involved quantization scheme would have to be evoked, and they are compatible with present observations. Some physical effects around the bounce are discussed, like baryogenesis and magnetogenesis, and the crucial role of dark matter and dark energy is also studied.

Automated summary

The goal of the paper is to present the properties of quantum bouncing models, where the quantum bounce arises from the Dirac canonical quantization of a midi-superspace model with a homogeneous and isotropic background and small inhomogeneous perturbations. It is shown that the resulting models are stable and do not approach the Planck energy, and are compatible with present observations. Discussions on physical effects around the bounce, such as baryogenesis and magnetogenesis, as well as the role of dark matter and dark energy are also included.