Abstract
The Jeans instability is regarded as an important tool for analyzing the dynamics of a self-gravitating system. However, this theory is challenging since astronomical observation data show some Bok globules, whose masses are less than the Jeans mass and still have stars or at least undergo the star formation process. To explain this problem, we investigate the effects of the higher-order generalized uncertainty principle on the Jeans mass of the collapsing molecular cloud. The results in this paper show that the higher order generalized uncertainty principle has a very significant effect on the canonical energy and gravitational potential of idea gas, and finally leads to a modified Jeans mass lower than the original case, which is conducive to the generation of stars in small mass Bok globules. Furthermore, we estimate the new generalized uncertainty principle parameter gamma _0 by applying various data of Bok globules, and find that the range of magnitude of gamma _0 is {10^{11}} {-} {10^{12}}.
Highlights
Einstein’s theory of general relativity is regarded as the cornerstone of the development of modern physics and astronomy
It is well known that the Jeans mass is an important theory to study the collapse of molecular clouds. In recent years, this theory is has been since some astronomical data have shown that there are some Bok globules, whose masses are less than the Jeans mass that still have stars or at least undergo the star formation process [22,23]
Our results show that the effect of generalized uncertainty principle (GUP) is able to reduce the Jeans mass, which is conducive to the generation of stars in small-mass Bok globules
Summary
Einstein’s theory of general relativity is regarded as the cornerstone of the development of modern physics and astronomy. In recent years, this theory is has been since some astronomical data have shown that there are some Bok globules, whose masses are less than the Jeans mass that still have stars or at least undergo the star formation process [22,23] For solving this problem, Moradpour et al corrected the limit of Jeans mass due to the KMM model. Moradpour et al corrected the limit of Jeans mass due to the KMM model Their results showed that the modifications were less than the original case and were related to the properties of the GUP model [24]. The higher order GUP has different properties from the KMM model and the ADV model, and it is interesting to investigate how the higher order GUP affects the Jeans mass.
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