Abstract
Several novel phases with large strangeness fraction such as, hyperon matter, quarkphase and Bose-Einstein condensates of antikaons are theoretically predicted at the highdensity core of neutron stars. Within the framework of the traditional meson exchangepicture known as the relativistic mean field (RMF) model, we study the equation ofstate (EoS) in the dense matter at the core of compact stars, formed in the core collapsesupernovas.The EoS of hot and dense matter plays a fundamental role in the understanding ofcore-collapse supernova. A phase transition from hadronic to exotic phases might occurin the early post-bounce phase of a core collapse supernova. We investigate the emergenceof strange hyperons in the dynamical collapse of a non-rotating massive star to a blackhole. We follow the dynamical formation and collapse of a protoneutron star (PNS) fromthe gravitational collapse of a 40M star adopting the newly constructed Shen hyperonicEOS. We also study the neutrino signals that may be used as a probe to core collapsesupernova. We compare the results with those of Shen nuclear EoS and understand therole of strange hyperons in the core collapse.Finally we discuss about our ongoing work on generating a full table of antikaon EoSfor a wide spectrum of temperature, density and proton fraction, which should be usefulfor supernova simulations.
