Exotic Cores with and without Dark-Matter Admixtures in Compact Stars

Abstract

We parameterize the core of compact spherical star configurations by a mass (m x ) and a radius (r x ) and study the resulting admissible areas in the total-mass -total-radius plane. The employed fiducial equation-of-state models of the corona at radii r ≥ r x and pressures p ≤ p x = p(r = r x ) are that (i) of constant sound velocity and (ii) a proxy of DY∆ DD-ME2 provided by Buchdahl's exactly solvable ansatz. The core (r < r x ) may contain any type of material, e.g. Standard-Model matter with unspecified equation of state or/and an unspecified Dark-Matter admixture.Employing a toy model for the cool equation of state with first-order phase transition we discuss also the mass-radius relation of compact stars with an admixture of Dark Matter in a Mirror-World scenario.