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On the Vacuum Field of a Sphere of Incompressible Fluid

Stephen John Crothers
Year: 2005
Keywords: Vacuum Field, Incompressible Fluid Sphere
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.