A spherically symmetric gravitational collapse-field with radiation

An interior spherically symmetric solution of Einstein's field equations corresponding to perfect fluid plus a flowing radiation-field is presented. The physical 3-space t = constant of our solution is spheroidal. Vaidya's pure radiation field is taken as the exterior solution. The inward motion of the collapsing boundary surface follows from the equations of fit. An approximation procedure is used to get a generalization of the standard Oppenheimer-Snyder model of collapse with outflow of radiation. One such explicit solution has been given correct to second power of eccentricity of the spheroidal 3-space.