  The main aim of the thesis is to study the properties of nuclear matter,
i.e., finite nuclei to infinite nuclear matter, at zero and finite temperature
within effective field theory motived relativistic mean-field model by using
some of the recent parameter sets. For this, we have chosen exotic, superheavy,
and natural/neutron-rich thermally fissile nuclei and studied ground as well as
excited-state bulk and surface properties of nuclei. We have also tried to
figure out the possible constraints on the DM variables by considering WIMP, a
DM candidate, inside the NS core and using gravitational-wave data GW170817.

Nuclear Theory