Jeans instability of dark-baryonic matter model in the context of Kaniadakis' statistic distribution

Gravity and Cosmology in Kaniadakis Statistics: Current Status and Future Challenges

“…In [ 27 ], this criterion has been revisited in the context of Kaniadakis statistics, obtaining a -deformed critical wavelength larger than the standard expression. Similar studies have also been developed in Eddington-inspired Born–Infeld [ 28 ] and [ 29 ] gravity, and the dark-baryonic matter model [ 30 ], among others. Holographic Cosmology: Holographic Dark Energy (HDE) is a theoretical framework that arises from the attempt of applying the holographic principle to the dark energy problem [ 31 ].…”

“…In [ 27 ], this criterion has been revisited in the context of Kaniadakis statistics, obtaining a -deformed critical wavelength larger than the standard expression. Similar studies have also been developed in Eddington-inspired Born–Infeld [ 28 ] and [ 29 ] gravity, and the dark-baryonic matter model [ 30 ], among others.…”

“…Without a doubt, a thorough examination of this framework is needed to find out all peculiarities of black holes in Kaniadakis statistics. In the recent study of [ 30 ], effects of Kaniadakis statistics on the Jeans instability have been analyzed for gravitational systems composed by dark and baryonic matter. As a result, it has been found that instability is suppressed in comparison with the background of Maxwell distribution and, thus, opposes the gravitational collapse of such systems.…”

“…As a result, it has been proven that the range of the unstable modes and the growth rates decrease with increasing values of . A further step forward has been taken in [ 30 ], where implications of Kaniadakis statistics have been explored on gravitational systems composed also by dark and baryonic matter. The analysis of the -modified dispersion equation for such systems has pointed out that Jeans instability is suppressed comparing to the standard case, implying that Kaniadakis corrections oppose the gravitational collapse.…”

“…As a result, it has been proven that the range of the unstable modes and the growth rates decrease with increasing values of κ. A further step forward has been taken in [30], where implications of Kaniadakis statistics have been explored on gravitational systems composed also by dark and baryonic matter.…”