Radial modes of oscillations of slowly rotating magnetized compact hybrid stars

Abstract

Stars having a quark core surrounded by a mixed phase followed by hadronic matter are termed as hybrid stars(HS). For the equation of state(EOS) of hadronic matter, we have considered RMF(Relativistic Mean Field) theory, in the presence of strong magnetic fields leading to Landau quantization of the charged particles. For the EOS of quark phase we have used the simple MIT bag model also in presence of strong magnetic field. The bag pressure and magnetic field are parametrized to make density dependant. We have constructed the intermediate mixed phase by using Glendenning conjecture. The EOSs are constructed comprising the hadron, mixed and quark phases. Eigenfrequencies of radial pulsations of slowly rotating magnetised hybrid star are calculated using constructed EOSs in a general relativistic formalism given by Chandrasekhar and Friedman.