Jeans analysis of self-gravitating systems in f(R)-gravity

Details Jeans analysis of self-gravitating systems in f(R)-gravity Jeans analysis of self-gravitating systems in f(R)-gravity

2011-12-04

arxiv.org/abs/1112.0761v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 figures, Accepted for publication in PRD

Scientific paper

Dynamics and collapse of collisionless self-gravitating systems is described by the coupled collisionless Boltzmann and Poisson equations derived from $f(R)$-gravity in the weak field approximation. Specifically, we describe a system at equilibrium by a time-independent distribution function $f_0(x,v)$ and two potentials $\Phi_0(x)$ and $\Psi_0(x)$ solutions of the modified Poisson and collisionless Boltzmann equations. Considering a small perturbation from the equilibrium and linearizing the field equations, it can be obtained a dispersion relation. A dispersion equation is achieved for neutral dust-particle systems where a generalized Jeans wave-number is obtained. This analysis gives rise to unstable modes not present in the standard Jeans analysis (derived assuming Newtonian gravity as weak filed limit of $f(R)=R$). In this perspective, we discuss several self-gravitating astrophysical systems whose dynamics could be fully addressed in the framework of $f(R)$-gravity.

Affiliated with

Also associated with

No associations

Rating

Jeans analysis of self-gravitating systems in f(R)-gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Jeans analysis of self-gravitating systems in f(R)-gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jeans analysis of self-gravitating systems in f(R)-gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388477