Contents
1 Introduction
Notation, conventions, singularities, bounces, and energy conditions
2 Higher-order gravitational theories
Lagrangians depending on the Ricci scalar, f(R) and scalar-tensor theories
3 Theories with a scalar field
Dynamical origin of the geometry ; WIST (Weyl Integrable Space Time) ; WIST duality, Weyl map; nonsingular cosmological model in WIST; WISTons and anti-WISTons; Conformal Transformation
4 Maxwellian and Non-Maxwellian Electrodynamics
Einstein-Maxwell Singular Universe; non-minimal interaction; example of a non singular universe; nonlinear electrodynamics; Magnetic universe; Born-Infeld electrodynamics; bouncing and cyclic magnetic universe.
5 Perturbations in bouncing universes
1 Introduction
Notation, conventions, singularities, bounces, and energy conditions
2 Higher-order gravitational theories
Lagrangians depending on the Ricci scalar, f(R) and scalar-tensor theories
3 Theories with a scalar field
Dynamical origin of the geometry ; WIST (Weyl Integrable Space Time) ; WIST duality, Weyl map; nonsingular cosmological model in WIST; WISTons and anti-WISTons; Conformal Transformation
4 Maxwellian and Non-Maxwellian Electrodynamics
Einstein-Maxwell Singular Universe; non-minimal interaction; example of a non singular universe; nonlinear electrodynamics; Magnetic universe; Born-Infeld electrodynamics; bouncing and cyclic magnetic universe.
5 Perturbations in bouncing universes
Bouncing Cosmology
Prof. Mario Novello
Prof. Mario Novello
Abstract
We analyze the general features of nonsingular universes (i.e. those that go from an era of accelerated collapse to an expanding era without displaying a singularity) as well as cyclic universes. We discuss the mechanisms behind the bounce and present examples of solutions that implement these mechanisms. We analyze the stability of these scenarios and describe the two methods of dealing with perturbation of a cosmological solution.