Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
Cl\'audio Gomes
TL;DR
This paper investigates how non-minimal matter-curvature coupling gravity affects Jeans instability, deriving criteria for gravitational collapse and analyzing implications for astrophysical objects like Bok globules.
Contribution
It introduces a modified Jeans instability criterion within non-minimal matter-curvature coupling gravity and explores its implications for astrophysical phenomena.
Findings
Derived relations between Bardeen scalar potentials in this gravity model.
Established a modified dispersion relation for Jeans instability.
Analyzed parameter space relevant to Bok globules.
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.
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