GENERAL SOLUTION TO VAIDYA-TIKEKAR METRIC WITH CHARGED DISTRIBUTIONS ON SPHEROIDAL SPACE TIME

Abstract

We are looking at the Vaidya-Tikekar metric which represents a three-dimensional space with time being constant, having charged distribution in a spheroidal super dense star. We address a general solution to Maxwell- Einstein's field equations in terms of hyper-geometric series. These models permit huge densities, radii of the order of few kilometers and maximum mass up to four times solar mass.