The influence of the expansion of space on the gravitation fields surrounding the individual stars

Abstract:

&S 8;~ dx, dxi,+ dt',(1+ sr/2)'(A)''N the theory of relativity one isused to --representing the gravitation field in the neighborhood of a single star by the centrally sym-metric static solution of the field equations, which was firststated by Schwarzschild. This field goes over asymptotica11y with increasing distance from the generating mass into the Euclidean (or rather, Minkowskian) space. That is to say, it is embedded in a" flat" space. On the other hand, we know that real space is expanding, and that, for the existence of a nonvanishing average densityof matter, the field equations will implysuch an expansion. The boundary conditions on which the Schwarzschild solution is based are, therefore, not valid for a real star. In particular the boundary conditions which are valid for the expanding space are dependent on time. One has to expect, therefore, a priori, that the field surrounding a single star is essentially dependent on …

Año de publicación:

1945

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Fuente:

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