Modified Jeans instability and Friedmann equation from generalized Maxwellian distribution

We study Jeans instability with generalized Maxwellian distribution. The results reveal two significant features of the modified Jeans instability. First, the Jeans wavelength of the system covers the original λJ{\lambda }_{J} when k=1k=1. Second, as kk approaches 0, the modified Jeans wavelength ap...

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Bibliographic Details
Main Authors: Zhou Jing, Zhang Saiwen, Leng Xiaoling
Format: Article
Language:English
Published: De Gruyter 2024-12-01
Series:Open Astronomy
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Online Access:https://doi.org/10.1515/astro-2024-0003
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Summary:We study Jeans instability with generalized Maxwellian distribution. The results reveal two significant features of the modified Jeans instability. First, the Jeans wavelength of the system covers the original λJ{\lambda }_{J} when k=1k=1. Second, as kk approaches 0, the modified Jeans wavelength approaches infinity. This means that the system is always gravitationally stable. Furthermore, we examine the implications of the modified Maxwellian distribution on the Friedmann equation. Our analysis suggests that the effective gravitational constant should incorporate the contribution of temperature TT in order to describe the system dynamics.
ISSN:2543-6376