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Method for analyzing coordinate singularities in the general theory of relativity

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Abstract

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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Literature cited

  1. 1.

    L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1967).

  2. 2.

    K. Schwarzschild, in: Albert Einstein and the Theory of Gravitation [Russian translation], Mir, Moscow (1979), pp. 199–207.

  3. 3.

    V. A. Fok, Theory of Space, Time, and Gravitation [in Russian], Fizmatgiz, Moscow (1961).

  4. 4.

    C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, Pt. III, W. H. Freeman, San Francisco (1973).

  5. 5.

    V. D. Zakharov, Summary of Lectures at the Fourth All-Union Conference (1986), pp. 60–61.

  6. 6.

    L. Abrams, Phys. Rev.,20D, 2474 (1979).

  7. 7.

    J. M. Bardeen, Papers from the Fifth International Conference on Gravitation and the Theory of Relativity, Tbilisi (1968), p. 184.

  8. 8.

    L. Ya. B. Zel'dovich and I. D. Novikov, Relativistic Astrophysics [in Russian], Nauka, Moscow (1967).

  9. 9.

    I. M. Gel'fand and G. E. Shilov, Generalized Functions and Operations on Them [inRussian], Fizmatgiz, Moscow (1959).

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Additional information

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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Keywords

  • General Theory
  • Coordinate Singularity
  • Invariant Operation