Confinement, Quark Matter Equation of State and Hybrid Stars

We consider here quark matter equation of state in a relativistic harmonic confinement model at zero temperature. The same is considered to study phase transition of neutron matter to quark matter at high densities. This, along with a phenomenological equation of state in the neutron matter sector is used to study hybrid stars. Using Tolman Oppenheimer Volkoff equations, stable solutions for hybrid stars are obtained with a maximum mass of 1.98 $M_\odot$ and radii around 10 kms with a quark core of about 1 to 2 kilometers.