Abstract:
Static spherically symmetric space-time is studied to describe dense compact star with
quark matter within the framework of MIT Bag Model. The system of Einstein’s field equations for
anisotropic matter is expressed as a new system of differential equations using transformations and
it is solved for a particular general form of gravitational potential with parameters. For a particular
parameter, as an example, it is shown that the model satisfies all major physical features expected in
a realistic star. The generated model also smoothly matches with the Schwarzschild exterior metric
at the boundary of the star. It is shown that the generated solutions are useful to model strange quark
stars.