SPHERES WITH 2 DENSITY DISTRIBUTIONS IN GENERAL RELATIVITY

Exact internal solutions have been found in a massive sphere with two different density distributions. The density is a minimum at the surface and increases as we move towards the center; but the density in the the central region is constant at a certain maximum value. The restrictions imposed by pressure-density relations limit the solutions to certain values of n for various ratios of core radius and external radius. n is the parameter expressing the densities in the two regions and the solutions of the field equations. © 1969 The American Physical Society.