Studying stability of Neutron Stars and its applications to Binary Neutron Star Systems

The stability of neutron stars (NS) is an essential question when studying compact objects, and the emission of gravitational waves. The turning point criterion is a crucial tool for studying NS that allows the stability of NS to be inferred from its equilibrium sequences. The criterion has been tested for NS having a constant entropy profile and one family of rotation law. We intend to extend the study to test the criterion for different rotation laws and entropy profiles; and study the stability of such NS. We use the Spectral Einstein Code (SpEC) to evolve such NS for a few milliseconds for central densities close to critical central densities. Through this poster, the work done on this front will be presented. We will also discuss applications to binary neutron star systems and provide an update on binary neutron star post-merger simulations with SpEC.