  This thesis focuses on a variety of active research topics, such as nuclear
matter, neutron stars, and phase transition within the framework of the RMF
model. We use the previously successful effective field theory-driven
Relativistic Mean Field (RMF) and density-dependent RMF (DD-RMF)formalisms for
analyzing hadron matter to examine the infinite nuclear matter and neutron
stars. The presence of exotic phases such as quarks has been investigated using
the MIT Bag model and its variants, such as the vBag model, at various bag
constants. The other exotic phases, such as hyperons, have also been studied
under the influence of a strong magnetic field.
