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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Qualitative analysis of Kantowski-Sachs metric in a generic class of f(R) models
Journal of Cosmology and Astroparticle Physics, Volume 2014, No. 5, Article 032, Year 2014
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Description
In this paper we investigate, from the dynamical systems perspective, the evolution of a Kantowski-Sachs metric in a generic class of f(R) models. We present conditions (i.e., differentiability conditions, existence of minima, monotony intervals, etc.) for a free input function related to the f(R), that guarantee the asymptotic stability of well-motivated physical solutions, specially, self-accelerated solutions, allowing to describe both inflationary- and late-time acceleration stages of the cosmic evolution. We discuss which f(R) theories allows for a cosmic evolution with an acceptable matter era, in correspondence to the modern cosmological paradigm. We find a very rich behavior, and amongst others the universe can result in isotropized solutions with observables in agreement with observations, such as de Sitter, quintessence-like, or phantom solutions. Additionally, we find that a cosmological bounce and turnaround are realized in a part of the parameter-space as a consequence of the metric choice. © 2014 IOP Publishing Ltd and Sissa Medialab srl.
Authors & Co-Authors
León, Genly
Chile, Valparaiso
Pontificia Universidad Católica de Valparaíso
Statistics
Citations: 29
Authors: 1
Affiliations: 2
Identifiers
Doi:
10.1088/1475-7516/2014/05/032
ISSN:
14757516
Study Approach
Qualitative