Eddington激发的Born-Infield引力中Jean不稳定性的动力学理论
Kinetic theory of Jean Instability in Eddington-inspired Born-Infield gravity
摘要：
本文利用无碰撞Boltzmann方程和Eddington启发的Born-Infield引力的修正Poisson方程分析了自引力系统的稳定性。这些方程提供了一个描述的牛仔裤范式用于确定临界规模以上，这种系统崩溃。在平衡时，系统描述使用时间无关的麦克斯韦-玻尔兹曼分布函数$f_0(v)$。考虑到这个平衡态的小扰动，我们得到了一个修正的色散关系，我们找到了一个新的特征标度长度。我们的结果表明，自引力天体物理系统的动力学可以完全解决在Eddington启发的Born-Infield引力。后者在高密度环境中改变了金斯不稳定性，而在恒星形成区其影响变得可以忽略不计。
英文摘要：
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.
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