rhertz
2024-10-30 23:08:32 UTC
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PermalinkINVENTED.
The Annals of Mathematics, Second Series, Vol. 40, No. 4
(Oct., 1939), pp. 922-936
(Received May 10, 1939)
ON A STATIONARY SYSTEM WITH SPHERICAL SYMMETRY CONSISTING OF MANY
GRAVITATING MASSES
BY ALBERT EINSTEIN
http://old.phys.huji.ac.il/~barak_kol/Courses/Black-holes/reading-papers/Einstein1939.pdf
QUOTE:
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"The essential result of this investigation is a clear understanding as
to why the "Schwarzschild singularities" do not exist in physical
reality. Although the theory given here treats only clusters whose
particles move along circular paths it does not seem to be subject to
reasonable doubt that more general cases will have analogous results.
The "Schwarzschild singularity" does not appear for the reason that
matter cannot be concentrated arbitrarily. And this is due to the fact
that otherwise the constituting particles would reach the velocity of
light."
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This investigation arose out of discussions the author conducted with
Professor H. P. Robertson and with Drs. V. Bargmann and P. Bergmann on
the mathematical and physical significance of the Schwarzschild
singularity. The problem quite naturally leads to the question, answered
by this paper in the negative, whether physical models are capable of
exhibiting such a singularity."