Color-flavor locked compact stars: An exact solution approach

Abstract

We present an exact solution that could describe compact star composed of color-flavor locked (CFL) phase. Einstein’s field equations were solved through CFL equation of state (EoS) along with a specific form of [Formula: see text] metric potential. Further, to explore a generalized solution we have also included pressure anisotropy. The solution is then analyzed by varying the color superconducting gap [Formula: see text] and its effects on the physical parameters. The stability of the solution through various criteria is also analyzed. To show the physical validity of the obtained solution we have generated the [Formula: see text] curve and fitted three well-known compact stars. This work shows that the anisotropy of the pressure at the interior increases with the color superconducting gap leading to decrease in adiabatic index closer to the critical limit. Further, the fluctuating range of mass due to the density perturbation is larger for lower color superconducting gap leading to more stable configuration.

The classification of interior solutions of anisotropic fluid configurations

“…Later work showed that a paired, symmetric in flavor, the colour-flavor locked state would be preferred to the one without any pairing for a wide range of the parameters. Recently, Singh et al [187] presented an exact solution that could describe compact stars composed of colour-flavor locked (CFL) phase. This work shows that the anisotropy of the pressure at the interior increases with the colour superconducting gap and it leads to a decrease in the adiabatic index closer to the critical limit.…”