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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this work we analyze the dynamics of collisionless self-gravitatingsystems described by the f(R)-gravity and Boltzmann equation in the weak fieldapproximation, focusing on the Jeans instability for theses systems. The fieldequations in this approximation were obtained within the Palatini formalism.Through the solution of coupled equations we achieved the collapse criterionfor infinite homogeneous fluid and stellar systems, which is given by adispersion relation. This result is compared with the results of the standardcase and the case for f(R)-gravity in metric formalism, in order to see thedifference among them. The limit of instability varies according to whichtheory of gravity is adopted.

Collisionless self-gravitating systems in f(R)-gravity within Palatini approach and relativistic Boltzmann equation in the Newtonian approach