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In a spherically symmetric spacetime we find the general solution for a relativistic star in hydrostatic equilibrium having the spheroidal geometry for the 3-space embedded in 4-Euclidean space. The parameter λ is the measure of spheroidal character and determines the physical properties of the star. It has a lower bound > 3/17; stars with smaller mass to radius ratio can occur for all allowed λ while ultracompact stars, having ratios between 1/3 and 1/2, will have λ 0.9. It turns out that adoi:10.1088/0264-9381/14/12/027 fatcat:hh7tykanlbfn3lrgp6y4iyvs7y