Mass-radius relation of compact objects

Abstract

Since the birth of General Relativity, (GR) the presence of compact objects (COs) as the stellar evolutionary end points were remained with great debates for several decades. However, in the course of new observational techniques and capabilities our current understanding is no more at debate at least in the presence of the COs. Today, the compact objects are among the most astrophysical objects used to study other systems. Thus, there active research interests in various respects of these objects. So, in this thesis we addressed some issues related to the compact objects mass limit in relation to their masses. Methodologically, we employed Einstein field equations to derive their equation of state. With the assumption of high densities and low temperatures characteristics of the compacts polytropic the derived equation of state is reduced to polytropic kind. Working out the polytropic equations we have obtained similar physical implications, in agreement to earlier works by others. But, we also noticed from our numerical results where the latest version Mathematica11 is used, slight differences in accuracy.