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TMF, 2015, Volume 183, Number 1, Pages 152–160 (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

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

DOI: https://doi.org/10.4213/tmf8813

Full text: PDF file (395 kB)
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English version:
Theoretical and Mathematical Physics, 2015, 183:1, 578–584

Bibliographic databases:

Received: 06.11.2014

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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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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