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Method for analyzing coordinate singularities in the general theory of relativity

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A general method for analyzing singularities of metrics is developed. Metrics are regularized and invariant operations are calculated, which must not change with regularization. This method is inspected in relation to the Schwarzschild metric.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 42–45, March, 1987.

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Gertsenstein, M.E., Melkumova, E.Y. Method for analyzing coordinate singularities in the general theory of relativity. Soviet Physics Journal 30, 217–219 (1987). https://doi.org/10.1007/BF00897858

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  • General Theory
  • Coordinate Singularity
  • Invariant Operation