A comparative study of the linear and colour-flavour-locked equation of states for compact objects

In this work we present a general framework for obtaining exact solutions to the Einstein field equations describing strange stars obeying a colour-flavour-locked (CFL) equation of state. Starting off with a spherically symmetric metric in isotropic coordinates describing the interior of the star, we impose a CFL equation of state to reduce the problem to a single-generating function of the gravitational potentials. Our approach leads to an infinite class of solutions of the field equations. In order to test the physical viability of our solutions, we subscribe a particular model to stringent stability tests. In particular, we show that a linear equation of state described by the MIT Bag model mimics the CFL equation of state describing strange stars with interacting quark matter. This is an interesting result which connects the more robust and mathematically tractable linear equation of state to the fundamental physics describing nuclear matter in the quark regime.