Abstract
The properties of the static, spherically symmetric metric tensor of the relativistic theory of gravity are analyzed in the vicinity of a singular sphere. It is shown that a massive particle with a nongeodesic radial motion may reach this sphere and remain there at rest. Based on this property, it is inferred that a sphere formed by massive particles can serve as a source of singular metrics in the relativistic theory of gravity.
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Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 111, No. 1, pp. 144–148, April, 1997.
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Denissov, V.I. Analysis of the properties of solutions of the relativistic theory of gravity in the vicinity of a singular sphere. Theor Math Phys 111, 507–510 (1997). https://doi.org/10.1007/BF02634205
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DOI: https://doi.org/10.1007/BF02634205