Stability study of differentially rotating relativistic stars

Stability properties have been examined in detail in the past for uniformly rotating stars. One of the important results for testing the stability of relativistic stars is the turning point criterion. According to the criterion, along a constant angular momentum sequence of mass-central energy density curve of equilibrium stars, instability occurs before the turning point. While this criterion has been investigated for differentially rotating stars in recent years, it has primarily been studied with non-realistic rotation laws (such as the j-constant law) and isentropic stars. Our study aims to extend this criterion to two different rotation laws, one of which is similar to the post-merger neutron star rotation profile, and considers different entropy profiles, including non-isentropic ones.