Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity

doi:10.1088/1674-1056/abb3f0

Abstract

Based on the framework of Kaniadakis’ statistics and its related kinetic theory, the Jeans instability for self-gravitational systems in the background of Eddington-inspired Born–Infield (EiBI) gravity is revisited. A dispersion relation generalizing the Jeans modes is derived by modifying the Maxwellian distribution to a family of power law distributions parameterized by the κ parameter. It is established that the κ-deformed Kaniadakis distribution has significant effects on the Jeans modes of the collisionless EiBI-gravitational systems. And as expected, in the limitation κ → 0, the corresponding results for Maxwellian case are recovered. The related result in the present work is valuable for the investigations involving the fields of astrophysics such as neutron stars, accretion disks, and relevant plasma physics, etc.

Keywords: Jeans instability EiBI gravity κ-deformed Kaniadakis distribution

Received: 11 July 2020
Revised: 16 August 2020
Accepted manuscript online: 01 September 2020

Fund: the National Natural Science Foundation of China (Grant Nos. 11763006 and 11863004) and the Fund from the Jiangxi Provincial Key Laboratory of Fusion and Information Control (Grant No. 20171BCD40005).

Corresponding Authors: ^†Corresponding author. E-mail: hchen61@ncu.edu.cn

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Wei-Heng Yang(杨伟恒), Yu-Zhen Xiong(熊玉珍), Hui Chen(陈辉), and San-Qiu Liu(刘三秋)$ Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity 2020 Chin. Phys. B 29 110401

Fig. 1.

The square of normalized growth rate (${\omega }_{* }^{2}={\omega }_{{\rm{r}}}^{2}/4\pi G{\rho }_{0}$) versus the normalized wave-number (k_* = k/k_J) in high frequency regime with different κ and χ < 0.

Fig. 2.

The square of normalized growth rate (${\omega }_{* }^{2}={\omega }_{{\rm{r}}}^{2}/4\pi G{\rho }_{0}$) versus the normalized wave-number (k_* = k/k_J) in high frequency regime with different κ and χ > 0.

Fig. 3.

The normalized growth rate (${\varOmega }_{* }={\omega }_{{\rm{i}}}/4\pi G{\rho }_{0}$) versus the normalized wave-number (k_* = k/k_J) in low frequency regime with different κ and χ < 0.

Fig. 4.

The normalized growth rate (Ω_* = ω_i/4 π G ρ₀) versus the normalized wave number (k_* = k/k_J) in low frequency regime with different κ and χ > 0.

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Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity

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