Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity

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.

arXiv comment8 pages, 1 figure

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• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity
• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity
• Testing the Dark Universe through the Layzer-Irvine Equation