https://doi.org/10.1140/epjc/s10052-024-13443-9
Regular Article - Theoretical Physics
Jeans analysis in fractional gravity
Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, Boite Postale 32, El Alia, 16111, Algiers, Algeria
a kam.ourabah@gmail.com, kourabah@usthb.dz
Received:
29
August
2024
Accepted:
29
September
2024
Published online:
11
October
2024
It has recently been demonstrated (Giusti in Phys Rev D 101:124029, 2020, https://doi.org/10.1103/PhysRevD.101.124029) that characteristic traits of Milgrom’s modified Newtonian dynamics (MOND) can be replicated from an entirely distinct framework: a fractional variant of Newtonian mechanics. To further assess its validity, this proposal needs to be tested in relevant astrophysical scenarios. Here, we investigate its implications on Jeans gravitational instability and related phenomena. We examine scenarios involving classical matter confined by gravity and extend our analysis to the quantum domain, through a Schrödinger–Newton approach. We also derive a generalized Lane–Emden equation associated with fractional gravity. Through comparisons between the derived stability criteria and the observed stability of Bok globules, we establish constraints on the theory’s parameters to align with observational data.
© The Author(s) 2024
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Funded by SCOAP3.
