Tolman's solutions in higher dimensional space-time.

Physics

Scientific paper

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General Relativity: Space-Time

Scientific paper

A class of exact solutions of the higher dimensional Einstein field equations for static fluid spheres is presented. The solutions are higher dimensional generalization of the well-known class of solutions first obtained by Tolman (1939) in four dimensions. The solutions can be matched at the boundary with the higher dimensional analogue of Schwarzschild's exterior solution.

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