The Jeans instability in viscoelastic spherical astrophysical fluid media

Abstract

This theoretic study focuses on investigating the Jeans instability excitation dynamics in strongly correlated astrofluid media confined in a vast spherically symmetric volume. A spherically symmetric normal mode analysis over the perturbed spherical medium leads to a quadratic dispersion relation of atypical analytic construct. It is specifically shown that the effect of geometrical curvature introduces a compound viscous influence onto the dispersion relation against the earlier reports analytically based on a planar parallel geometry instead. A numerical illustrative platform based on judicious multiparametric values is provided to see the various fluid stabilizing and destabilizing factors against the nonlocal gravity. An interesting non-trivial outcome found herein is that larger clouds with fixed mass and density are gravitationally more stabilized, and vice-versa. Astronomical implications and applications of our findings are summarily actualized.