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In agreement with the gravitational-wave events which are constantlyincreasing, new aspects of the internal structure of compact stars have come tolight. A scenario in which a first order transition takes place inside thesestars is of particular interest as it can lead, under conditions, to a thirdgravitationally stable branch (besides white dwarfs and neutron stars). This isknown as the twin star scenario. The new branch yields stars with the same massas normal compact stars but quite different radii. In the current work, wefocus on hybrid stars undergone a hadron to quark phase transition near theircore and how this new stable configuration arises. Emphasis is to be givenespecially in the aspects of the phase transition and its parameterization intwo different ways, namely with Maxwell construction and with Gibbsconstruction. Qualitative findings of mass-radius relations of these stars willalso be presented.

Twin stars: probe of phase transition from hadronic to quark matter