Abstract
Recently, much progress has been reported about the properties of neutron stars (NS). However, in some parts such radius and moment of Inertia of NSs are still uncertain. We are interested in studying the properties of neutron stars also by using free parametric constraints. In this work, we use the modified Tolman Oppenheimer Volkoff (TOV) equation known as the parameterization of TOV (PTOV). Relativistic Mean Field (RMF) model is used to calculate the equation of state (EoS) of an NS. NS EoS is used as input to calculate some properties of NSs. The properties of neutron stars that are the focus of this research is mass, radius, and moment of inertia of slowly rotating NSs. We observe the effect of each free parameter added to the TOV equation, which results in a shift from the mass-radius diagram. We obtain the results which are consistent with the constraint of maximum mass M < 2.35 M⊙ and constraint of radius 11.38 < R1.4M⊙ (km) < 13.77. We observe that the contribution of each free parameter can increase mass and decrease the radii as well as provide an impact on the corresponding moment of inertia.
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