Abstract
This paper studies the collapse of stellar filaments in the presence of dark matter (DM). We use [Formula: see text] gravity to involve DM in the collapse. We apply Darmois junction conditions (DJCs) on the surface of collapsing boundary [Formula: see text] and obtain the collapse equation. The radial pressure associated with the seen matter is found to be nonzero at [Formula: see text]. We then use Starobinsky model, [Formula: see text], as a candidate of DM to obtain stability criteria (SC) of the collapsing body. It is found that the stability of filamentary structure relates radial pressure of baryonic directly with the gravitational effects of DM. Stability of polytropic family of filaments are studied by applying polytropic equation of state to baryonic contribution. For all polytropic stable filaments, it turns out that the visible matter density is exponentially linked to effects of DM. Finally, we discuss connection between exotic terms and gravitational waves (GW). It is theoretically indicated that the presence of DM can affect the GW propagation.
Published Version
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