Relativity and Cosmology


On the Vacuum Field of a Sphere of Incompressible Fluid

Authors: Stephen J. Crothers

The vacuum field of the point-mass is an unrealistic idealization which does not occur in Nature - Nature does not make material points. A more realistic model must therefore encompass the extended nature of a real object. This problem has also been solved for a particular case by K. Schwarzschild in his neglected paper on the gravitational field of a sphere of incompressible fluid. I revive Schwarzschild's solution and generalise it. The black hole is necessarily precluded. A body cannot undergo gravitational collapse to a material point.

Comments: 6 pages.

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[v1] 3 Jan 2011

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