摘要
Based on the framework of Kaniadakis’statistics and its related kinetic theory,the Jeans instability for selfgravitational 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 theκ-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.
基金
Project supported by the National Natural Science Foundation of China(Grant Nos.11763006 and 11863004)
the Fund from the Jiangxi Provincial Key Laboratory of Fusion and Information Control(Grant No.20171BCD40005).
