Kinetic theory of Jean Instability in Eddington-inspired Born-Infield gravity

TL;DR

This paper investigates how Eddington-inspired Born-Infeld gravity modifies the classical Jeans instability criterion in self-gravitating systems, revealing significant effects at high densities but negligible influence during star formation.

Contribution

It introduces a modified dispersion relation for Jeans instability within Eddington-inspired Born-Infeld gravity, providing new insights into gravitational stability in astrophysical systems.

Findings

Modified critical scale length for gravitational collapse

Eddington-inspired Born-Infeld gravity affects high-density systems

Negligible effects in star formation regions

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 the self-gravitating astrophysical systems can be fully addressed in the Eddington-inspired Born-Infield gravity. The latter modifies the Jeans instability in high densities environments while its effects become negligible in the star formation regions.