Replicating studies performed on the universal relations for the increase in the mass and radius of a rotating Neutron Star

Neutron star are dense objects. Their density does not compare to anything on Earth, therefore we do not know the fundamental relationship that dominate the structure of these stars. We are developing density and pressure relationship, called equations of states (EOS), to create models for making predictions to observations. Also, the mass of a rotating star was found to be larger than a non-rotating one and the faster a star rotate the larger its equatorial radius is. In Konstantinou et al. (2022) it was found that mass and radius differences are insensitive to the equation of state of the neutron star. Hence, this independence stimulated the idea of possible universality. In their paper, Dr. Konstantinou and Dr. Morsink affirm that they have found a ratio of mass to radius constant on one of the constant-density sequences of neutron stars they studied.

Our research was a collaborative effort, involving the creation of a program that generates piecewise polytropic and speed of sound parametrized EOS. This program, with its advanced algorithm, calculates properties such as pressure and energy density based on mass density and the constraints found in each type of EOS. Then, we used our results to investigate the two families of stars based on the parameters selected in Konstantinou et al. Our initial focus was on replicating their mass to radius relations, a process that we undertook with the support and input of our fellow researchers, in order to validate the universality they claim to have found.