2021/08/31 by Gilberto M. Kremer · 1 citation
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-021-09728-y
published as Eur. Phys. J. C (2021) 81:927 · To appear in The European Physical Journal C
arxiv created 2021/10/07 · arxiv updated 2021/10/26
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-Jüttner 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.