Classifications of Twin Star Solutions for a Constant Speed of Sound Parameterized Equation of State

Understand

We explore the possible mass radius relation of compact stars for the equation of states with a first order phase transition.

• The low density matter is described by a nuclear matter equation of state resulting from fits to nuclear properties.
• A constant speed of sound parametrization is used to describe the high density matter phase with the speed of sound $c_s^2=1$.
• A classification scheme of four distinct categories including twin star solutions, i.