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Article: On the vacuum field of a sphere of incompressible fluid.
- Article from:
- Progress in Physics
- Article date:
- July 1, 2005
- Author:
CopyrightCOPYRIGHT 2005 Progress in Physics. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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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.
1 Introduction
In my previous papers [1, 2] concerning the general solution for the point-mass I showed that the ...