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

The pulsational mode of gravitational collapse (PMGC) originating from the combined gravito-electrostatic interaction in complex dust molecular clouds (DMCs) is a canonical mechanisms leading to the onset of astronomical structure formation dynamics. A semi-analytic generalized model is formulated to examine the collective effects of polarization force, Eddington-inspired Born-Infeld (EiBI) gravity, and non-thermal (r, q)-distributed electrons on the stability of the PMGC concurrently. The ions are treated with the help of the Maxwellian thermo-statistical distribution law whereas the electrons are modelled with the non-thermal (r, q)-distribution law. The dust species including neutral and negatively charged particles are treated as fluids. A spherical normal mode analysis obtains a quartic linear dispersion relation for the PMGC. The oscillatory and propagation characteristics of the PMGC mode dynamics are investigated on a constructed numerical platform. It found that an increase in the polarization force and positive EiBI parameter significantly enhances the instability resulting in the DMC collapse, and vice versa. The electron non-thermality spectral parameters play a vital role as stabilizing factor. Its reliability and applicability are finally outlined in light of the previous astronomical studies in the same thematic direction.