Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
Abstract
Local and global phase-space descriptions and averaging methods are used to find qualitative features of solutions for the FLRW and the Bianchi I metrics in the context of scalar field cosmologies with arbitrary potentials and arbitrary couplings to matter. The stability of the equilibrium points in a phase-space as well as the dynamics in the regime where the scalar field diverges are studied. Equilibrium points that represent some solutions of cosmological interest such as: several types of scaling solutions, a kinetic dominated solution representing a stiff fluid, a solution dominated by an effective energy density of geometric origin, a quintessence scalar field dominated solution, the vacuum de Sitter solution associated to the minimum of the potential, and a non-interacting matter dominated solution are obtained. All reveal a very rich cosmological phenomenology.
Cite
@article{arxiv.2007.11990,
title = {Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation},
author = {Genly Leon and Felipe Orlando Franz Silva},
journal= {arXiv preprint arXiv:2007.11990},
year = {2021}
}
Comments
This manuscript supersedes arXiv:1912.09856v4 [gr-qc]. 50 pages, 8 compound figures