Jeans instability in fourth-order gravity in application to astrocosmic structure formation
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We investigate the non-local gravitational (Jeans) instability dynamics in infinitely extended polytropic viscoelastic self-gravitating astrocosmic fluids. The classical gravitational theory, moderated with higher-order corrections via the fourth-order gravity (FOG)-driven biharmonic gravitational Poisson equation, against the traditional (Newtonian) uniharmonic picture is employed. It systematically incorporates thermal fluctuations, viscoelasticity, volumetric expansion, etc. Application of local linear normal mode treatment here results in a multi-parametric generalized linear cubic dispersion relation. The constructed numerical platform reveals mainly that the free length parameter \(\:\left(L\right)\), introduced by the corrective FOG framework, significantly influences the stability behaviours towards structure formation. It illustratively highlights the stabilizing (destabilizing) and accelerating (decelerating) roles of various relevant physical parameters influencing astrocosmic structurization, followed justifiably by reliability and validation analyses.
