Jeans Instability from post-Newtonian Boltzmann equation
Abstract
Jeans instability within the framework of post-Newtonian Boltzmann and Poisson equations are analyzed. The components of the energy-momentum tensor are calculated from a post-Newtonian Maxwell-J\"uttner distribution function. The perturbations of the distribution function and gravitational potentials from their background states with the representation of the perturbations as plane waves lead to a dispersion relation with post-Newtonian corrections. The influence of the post-Newtonian approximation on the Jeans mass is determined and it was shown that the mass necessary for an overdensity to begin the gravitational collapse in the post-Newtonian theory is smaller than the one in the Newtonian theory.
Cite
@article{arxiv.2108.03885,
title = {Jeans Instability from post-Newtonian Boltzmann equation},
author = {Gilberto M. Kremer},
journal= {arXiv preprint arXiv:2108.03885},
year = {2021}
}
Comments
To appear in The European Physical Journal C