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- Title
Kinetic theory of Jean instability in Eddington-inspired Born-Infeld gravity.
- Authors
Martino, Ivan; Capolupo, Antonio
- Abstract
We analyze the stability of self-gravitating systems which dynamics is investigated using the collisionless Boltzmann equation, and the modified Poisson equation of Eddington-inspired Born-Infield gravity. These equations provide a description of the Jeans paradigm used to determine the critical scale above which such systems collapse. At equilibrium, the systems are described using the time-independent Maxwell-Boltzmann distribution function $$f_0(v)$$ . Considering small perturbations to this equilibrium state, we obtain a modified dispersion relation, and we find a new characteristic scale length. Our results indicate that the dynamics of self-gravitating astrophysical systems can be fully addressed in the Eddington-inspired Born-Infeld gravity. The latter modifies the Jeans instability in high densities environments, while its effects become negligible in star formation regions.
- Subjects
KINETIC theory of matter; EDDINGTON mass limit; POISSON'S equation; MAXWELL-Boltzmann function; ASTROPHYSICS
- Publication
European Physical Journal C -- Particles & Fields, 2017, Vol 77, Issue 10, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-017-5300-0