Completion of the universal I-Love-Q relations in compact stars including the mass

Understand

In a recent paper we applied a rigorous perturbed matching framework to show the amendment of the mass of rotating stars in Hartle's model.

• Here, we apply this framework to the tidal problem in binary systems.
• Our approach fully accounts for the correction to the Love numbers needed to obtain the universal $I$-Love-$Q$ relations.
• We compute the corrected mass vs radius configurations of rotating quark stars, revisiting a classical paper on the subject.