Pulsational mode stability in complex EiBI-gravitatingpolarized astroclouds with(r, q)-distributed electrons

The pulsational mode of gravitational collapse (PMGC) originating from thecombined gravito-electrostatic interaction in complex dust molecular clouds (DMCs) is acanonical mechanism leading to the onset of astronomical structure formation dynamics. Ageneralized semi-analytic model is formulated to explore the effects of the Eddington-inspiredBorn-Infeld (EiBI) gravity, non-thermal(r,q)-distributed electrons, and dust-polarizationforce on the PMGC stability concurrently. The thermal ions are treated thermo-statisticallywith the Maxwellian distribution law and the non-thermal electrons with the(r,q)-distributionlaw. The constitutive partially ionized dust grains are modeled in the fluid fabric. A sphericalnormal mode analysis yields a generalized linear PMGC dispersion relation. Its oscillatoryand propagation characteristics are investigated in a judicious numerical platform. It is foundthat an increase in the polarization force and positive EiBI parameter significantly enhancesthe instability, causing the DMC collapse and vice versa. The electron non-thermality spectralparameters play as vital stabilizing factors, and so on. Its reliability and applicability arefinally outlined in light of astronomical predictions previously reported in the literature.