English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper we investigate, from the dynamical systems perspective, theevolution of a Kantowski-Sachs metric in a generic class of $f(R)$ models. Wepresent conditions (i. e., differentiability conditions, existence of minima,monotony intervals, etc.) for a free input function related to the $f(R)$, thatguarantee 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, incorrespondence to the modern cosmological paradigm. We find a very richbehavior, and amongst others the universe can result in isotropized solutionswith observables in agreement with observations, such as de Sitter,quintessence-like, or phantom solutions. Additionally, we find that acosmological bounce and turnaround are realized in a part of theparameter-space as a consequence of the metric choice.

Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models