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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 1, Pages 152–160
DOI: https://doi.org/10.4213/tmf8813
(Mi tmf8813)
 

Integral of motion in general relativity and the effect of accumulating excessive internal energy of a body under gravitational contraction

S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili

Institute for High Energy Physics, Protvino, Moscow Oblast, Russia
References:
Abstract: We show that under gravitational contraction of a spherical body, its internal energy increases infinitely as the body radius approaches $GM/c^2$, which leads to a negative mass defect and unavoidably to an explosion process with ejection of part of the body mass because the spherical compression is unstable. This conclusion follows exactly from the general theory of relativity in harmonic coordinates.
Keywords: Schwarzschild radius, collapse, energy–momentum pseudotensor, Hilbert causality principle, harmonic coordinates.
Received: 06.11.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 1, Pages 578–584
DOI: https://doi.org/10.1007/s11232-015-0282-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili, “Integral of motion in general relativity and the effect of accumulating excessive internal energy of a body under gravitational contraction”, TMF, 183:1 (2015), 152–160; Theoret. and Math. Phys., 183:1 (2015), 578–584
Citation in format AMSBIB
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\paper Integral of motion in general relativity and the~effect of accumulating excessive internal energy of a~body under gravitational contraction
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  • https://www.mathnet.ru/eng/tmf/v183/i1/p152
  • Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:147
    First page:109
     
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