https://doi.org/10.1140/epjc/s10052-023-12000-0
Regular Article - Theoretical Physics
A self-gravitating system composed of baryonic and dark matter analysed from the post-Newtonian Boltzmann equations
1
Departamento de Física, Universidade Federal do Paraná, 81531-980, Curitiba, Brazil
2
Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, Boite Postale 32, El Alia, 16111, Algiers, Algeria
Received:
6
March
2023
Accepted:
5
September
2023
Published online:
13
September
2023
We study the Jeans gravitational instability for a mixture of baryonic and dark matter particles, in the post-Newtonian approximation. We adopt a kinetic model consisting of a coupled system of post-Newtonian collisionless Boltzmann equations, for each species, coupled to the post-Newtonian Poisson equations. We derive the stability criterion, accounting for both post-Newtonian corrections and the presence of dark matter. It is shown that both effects give rise to smaller Jeans masses, in comparison with the standard Jeans criterion, meaning that a smaller mass is needed to begin the gravitational collapse. Taking advantage of that, we confront the model with the observational stability of Bok globules, and show that the model correctly reproduces the data.
© The Author(s) 2023
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