| Abstract : | As per the ‘No-Hair’ theorem, Isolated non-charged Black Holes can be entirely described by their mass and spin angular momentum. Astrophysical objects other than black holes were not expected to share the same type of universality. However, Neutron Stars and Quark Stars have been found to present certain universality. The I-Love-Q relations are an example of this universality. These relations can provide a greater understanding of the structural and macro properties of compact astrophysical objects with knowledge of any one of the observables among moment of inertia, love number, and quadrupole moment. The reason behind this is due to the lack of sensitivity of the relations with the equation of state of matter. In our present work, we have investigated the consistency of universal relations for a generic family of equations of state which follows all the astrophysical constraints. We have also studied the deviation in the universality of the NS models with the EOSs, which do not follow the astrophysical constraints. This investigation examines if universal relations can be a tool to constrain the equations of state of matter. We have also investigated the efficiency of the Neural Networks method by using universality as a tool. The deviation from universality can determine the accuracy of the method to reproduce EoSs, which follow the astrophysical constraints. |
