Jeans Gravitational Instability with -Deformed Kaniadakis Distribution**Supported by the National Natural Science Foundation of China under Grant No 11665012, the International Science and Technology Cooperation Program of China under Grant No 2015DFA61800, and the Natural Science Foundation of Jiangxi Province under Grant Nos 20151BAB212010 and 2015ZBAB202006.

Abstract

The Jeans instabilities in an unmagnetized, collisionless, isotropic self-gravitating matter system are investigated in the context of -deformed Kaniadakis distribution based on kinetic theory. The result shows that both the growth rates and critical wave numbers of Jeans instability are lower in the -deformed Kaniadakis distributed self-gravitating matter systems than the Maxwellian case. The standard Jeans instability for a Maxwellian case is recovered under the limitation .