On a stationary system with spherical symmetry consisting of many gravitating masses. Einstein, A. *Annals of Mathematics (2)*, 40(4):922–936, October, 1939. Paper bibtex @Article{Einstein:1939:SSS,
author = "Albert Einstein",
title = "On a stationary system with spherical symmetry
consisting of many gravitating masses",
journal = j-ANN-MATH-2,
volume = "40",
number = "4",
pages = "922--936",
month = oct,
year = "1939",
CODEN = "ANMAAH",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "70.1X",
MRnumber = "MR0000363 (1,61a)",
MRreviewer = "H. P. Robertson",
bibdate = "Fri Nov 25 11:15:57 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/einstein.bib",
URL = "http://links.jstor.org/sici?sici=0003-486X(193910)2:40:4<922:OASSWS>2.0.CO",
acknowledgement = ack-nhfb,
Calaprice-number = "218",
fjournal = "Annals of Mathematics. Second Series",
remark = "This paper attempts to prove the impossibility of
forming black holes. See the discussion in
\cite[page~346]{Bartusiak:2006:AUD} and
\cite[page~80]{Bernstein:1996:RFB}.
The last page of Einstein's article summarizes the
results of his computations:\par
``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.\par
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, as to whether
physical models are capable of exhibiting such a
singularity.''",
Whittaker-number = "176",
}

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The last page of Einstein's article summarizes the results of his computations:\\par ``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.\\par 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, as to whether physical models are capable of exhibiting such a singularity.''","whittaker-number":"176","bibtex":"@Article{Einstein:1939:SSS,\n author = \"Albert Einstein\",\n title = \"On a stationary system with spherical symmetry\n consisting of many gravitating masses\",\n journal = j-ANN-MATH-2,\n volume = \"40\",\n number = \"4\",\n pages = \"922--936\",\n month = oct,\n year = \"1939\",\n CODEN = \"ANMAAH\",\n ISSN = \"0003-486X (print), 1939-8980 (electronic)\",\n ISSN-L = \"0003-486X\",\n MRclass = \"70.1X\",\n MRnumber = \"MR0000363 (1,61a)\",\n MRreviewer = \"H. P. Robertson\",\n bibdate = \"Fri Nov 25 11:15:57 2005\",\n bibsource = \"http://www.math.utah.edu/pub/tex/bib/einstein.bib\",\n URL = \"http://links.jstor.org/sici?sici=0003-486X(193910)2:40:4<922:OASSWS>2.0.CO\",\n acknowledgement = ack-nhfb,\n Calaprice-number = \"218\",\n fjournal = \"Annals of Mathematics. Second Series\",\n remark = \"This paper attempts to prove the impossibility of\n forming black holes. See the discussion in\n \\cite[page~346]{Bartusiak:2006:AUD} and\n \\cite[page~80]{Bernstein:1996:RFB}.\n\n The last page of Einstein's article summarizes the\n results of his computations:\\par\n\n ``The essential result of this investigation is a clear\n understanding as to why the `Schwarzschild\n singularities' do not exist in physical reality.\n Although the theory given here treats only clusters\n whose particles move along circular paths it does not\n seem to be subject to reasonable doubt that more\n general cases will have analogous results. The\n `Schwarzschild singularity' does not appear for the\n reason that matter cannot be concentrated arbitrarily.\n And this is due to the fact that otherwise the\n constituting particles would reach the velocity of\n light.\\par\n\n This investigation arose out of discussions the author\n conducted with Professor H. P. Robertson and with Drs.\n V. Bargmann and P. Bergmann on the mathematical and\n physical significance of the Schwarzschild singularity.\n The problem quite naturally leads to the question,\n answered by this paper in the negative, as to whether\n physical models are capable of exhibiting such a\n singularity.''\",\n Whittaker-number = \"176\",\n}\n\n","author_short":["Einstein, A."],"key":"Einstein:1939:SSS","id":"Einstein:1939:SSS","bibbaseid":"einstein-onastationarysystemwithsphericalsymmetryconsistingofmanygravitatingmasses-1939","role":"author","urls":{"Paper":"http://links.jstor.org/sici?sici=0003-486X(193910)2:40:4<922:OASSWS>2.0.CO"},"metadata":{"authorlinks":{"einstein, 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