Eur. Phys. J. C (2020) 80: 633
https://doi.org/10.1140/epjc/s10052-020-8189-y

Regular Article - Theoretical Physics

Jeans instability in non-minimal matter-curvature coupling gravity

Centro de Física do Porto, Rua do Campo Alegre s/n, 4169-007, Porto, Portugal

^* e-mail: claudio.gomes@fc.up.pt

Received: 26 February 2020
Accepted: 28 June 2020
Published online: 17 July 2020

Abstract

The weak field limit of the nonminimally coupled Boltzmann equation is studied, and relations between the invariant Bardeen scalar potentials are derived. The Jean’s criterion for instabilities is found through the modified dispersion relation. Special cases are scrutinised and considerations on the model parameters are discussed for Bok globules.