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In relativistic astrophysics, understanding the nature and exact composition of a specific class of compact stars which are more compact than ordinary neutron stars, has become a field of active research in recent years. A neutron star is a final stage of a gravitationally collapsed star which, after exhausting all its thermo-nuclear fuel, gets stabilized by degenerate neutron pressure. Soon after the discovery of the particle 'neutron' by Chadwick, the existence of neutron star was predicted. Later on, the concept got observational support with the discovery of pulsars. In this book, various research scheme has been adopted through different approaches such as Krori & Barua and Finch & Skea for modelling singularity free compact stars.