On the mass of a uniform density star in higher dimensions

Within the framework of higher dimensions the mass of a uniform density sta r is evaluated. The four-dimensional upper bound for the mass-to-radius rat io obtained by Schwarzschild is generalized within the framework of higher- dimensional spacetime. It is found that the analogue upper bound for the ma ss-to-radius ratio in higher dimensions tends to increase at first as the n umber of dimensions of spacetime increases, it attains a maximum at nine di mensions and thereafter decreases. It is found that D = 4 is the lowest num ber of spacetime dimensions for which the mass-to-radius ratio of a uniform density star can be derived.