https://doi.org/10.1140/epjc/s10052-021-09728-y
Regular Article - Theoretical Physics
Jeans instability from post-Newtonian Boltzmann equation
Departamento de Física, Universidade Federal do Paraná, 81531-980, Curitiba, Brazil
Received:
19
July
2021
Accepted:
7
October
2021
Published online:
20
October
2021
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.
© The Author(s) 2021
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