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The Abraham Zelmanov Journal
The journal for General Relativity, gravitation and cosmology


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HOME > ARCHIVES > 2008, volume 1, pages 20-32

On the Gravitational Field of a Sphere of Incompressible Liquid, According to Einstein's Theory

Karl Schwarzschild

Abstract

This is a translation of the paper "Über das Gravitationsfeld einer Kugel aus incompressiebler Flüssigkeit nach der Einsteinschen Theorie" published by Karl Schwarzschild, in Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften, 1916, S.424-435. Here Schwarzschild expounds his previously obtained metric for the spherically symmetric gravitational field produced by a point-mass, to the case where the source of the field is represented by a sphere of incompressible fluid. Schwarzschild formulates the physical condition of degeneration of such a field. Translated from the German in 2008 by Larissa Borissova and Dmitri Rabounski.

Ref:  The Abraham Zelmanov Journal, 2008, volume 1, pages 20-32

Full text:  PDF  (updated with errata on September 04, 2010)

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