Investigating Universal Relations in Compact Stars featuring $\Delta-$Admixed Exotic Dense Matter

TL;DR

This paper investigates universal relations among compact star features like moment of inertia, tidal Love number, and oscillation frequencies, especially in stars with exotic dense matter cores, confirming their robustness across models.

Contribution

It demonstrates that universal relations hold for baryonic stars with heavier baryon cores and highlights the near-universality of f-mode oscillation frequencies relative to tidal deformability.

Findings

Universal relations are valid for stars with heavier baryon cores.

f-mode oscillation frequency shows less than 1% error in relation to tidal deformability.

Universal relations are robust despite complex dense matter properties.

Abstract

The dense material in a compact star from a supernova remnant is beyond terrestrial experimentation, so phenomenological modeling is used to match astrophysical observations. This is crucial due to the complex sensitivity of compact star features to dense matter properties. Despite modeling flexibility, certain universal relationships among compact star features hold true, regardless of the matter model. Our study examines these universal relationships, focusing on the moment of inertia, tidal Love number, and quadrupole moment, as well as correlations between non-radial oscillation frequencies and star compactness. We consider baryonic stars with cores of heavier baryons. Our findings show that baryonic stars with cores of heavier baryons follow the universal relations, and the f-mode oscillation frequency's universality relative to tidal deformability is notable, with an error margin under 1$\%$.