Executive Summary : | Compact astrophysical objects are unique laboratories for studying matter at super-nuclear density. The mass-radius measurement of some pulsars and the estimate of tidal deformability of stars from gravitational waves detected during binary star mergers put stringent constraints on the highly dense matter properties. There are many possible dense matter compositions, including nuclear matter, hadronic matter, and strange quark matter (SQM). Different types of stars may exist, such as neutron stars (NSs) composed of only nucleonic matter, neutron stars with exotic matter in the core, and strange stars composed of SQM. The study aims to discuss the observational constraints on the equations of state (EoS) of highly dense matter inside compact objects and narrow down the possible EoSs and parameter space within limited numbers of EoSs. The authors will also focus on the possibility of the appearance of non-hadronic components inside the inner core of compact stars. They plan to explore this possibility with the available astrophysical data and consider different parametrizations of EoSs. The next goal is to study the thermal properties of dense matter, understanding the affects of neutrinos in dense matter composition and their consequences on binary star mergers or supernova dynamics. They will explore hot dense matter within newly obtained experimental and observational data and study different non-radial oscillatory models of star fluid that may generate GWs. |