Compact astrophysical objects are unique laboratory to probe matter at super-nuclear density. The project aims to discuss the observational constraints on the equations of state (EoS) of highly dense matter inside the compact objects and hence to narrow down the possible EoSs and the parameter space within limited number of EoSs. The aim is to study all possibilities in light of recent astrophysical observations. Our aim is to fix the parameterizations of EoSs making the matter compatible with both the nuclear physics experimental and astrophysical observational data. There are possibilities of more than one family of compact objects. The plan is to explore this possibility with the so far available astrophysical data. In that context the project plan is to study the neutron star matter with inclusion of dark matter and their consequences in the astrophysical observations. One rich area of cultivation is to comprehend the affects of neutrinos in dense matter composition and its consequences on BNS or supernova dynamics. In order to do that it is very crucial to study the hot dense matter. Consequently, the plan is to explore the hot dense matter within newly obtained experimental and observational data. In addition, the different non-radial oscillatory model of star fluid which may generate GWs will be studied.
Theoretical study of strong magnetic field effect on interior configuration, structure for magnetars. The presence of strong magnetic field in neutron star determines the existence of superfluid matter inside the neutron star. The aim is to study the impact of presence (absence) of superfluid components on neutron star interior dynamics as well as many microscopic processes which might manifest in cooling, (anti-)glitch, postglitch relaxation, precession of neutron stars. Consequently, the broad objective is to find the implications of quenched superconducting phase inside the magnetized neutron stars on its dynamical properties and their consequences on the observed magnetar properties.