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Application of types-N and -O spaces to examples of exact solutions of the gravitational equations

  • Elementary-Particle Physics And Field Theory
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Abstract

Analysis of the exact solutions of the gravitational equations corresponding to the collision of two gravitational plane waves (typeN) and light-like beams (typeO) and also a Kerr-Schild wave metric with conformally flat background is used to formulate theorems that indicate the resulting type of spacetime if the initial gravitational fields belong to typesN andO. A type-D Weyl matrix always appears, which is due to the nonlinear super-position of gravitational fields, in contrast to the superposition of weak gravitational fields, when the sum of the Weyl matrices for the initial fields corresponds to dropping nonlinear terms in both the curvature tensor and the field equations.

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References

  1. N. V. Mitskevich, A. M. Baranov, and V. V. Lugotsov, in: Abstracts of Papers, All-Union Conference “Current Theoretical and Experimental Problems of the Theory of Relativity and Gravitation” [in Russian], Minsk (1976), pp. 195–200.

  2. A. Z. Petrov, New Methods in the General Theory of Relativity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. V. D. Zakharov, Gravitational Waves in the Einstein Theory of Gravitation [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  4. P. Szekeres, J. Math. Phys.,13, No. 3, 286–294 (1972).

    Google Scholar 

  5. K. A. Khan and R. Penrose, Nature,229, 185–186 (1971).

    Google Scholar 

  6. W. B. Bonner, Commun. Math. Phys.,13, 163–174 (1969).

    Google Scholar 

  7. R. Kerr and A. Schild, in: Centenario della Nascita di Galileo Galilei, Vol. 1, Firenze (1965), p. 222.

  8. A. M. Baranov, in: Abstracts of Papers, 8th Russian Gravitational Conference “Theoretical and Experimental Problems of Gravitation” (Pushchino) [in Russian], RGA, Moscow (193), p. 17.

  9. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation [Russian translation], Vol. 2, Nauka, Moscow (1977).

    Google Scholar 

  10. A. M. Baranov, Abstracts of Contributed Papers, 9th International Conference on General Relativity and Gravitation, Vol. 1, Jena (GDR) (1980), p. 310.

  11. A. M. Baranov, Investigations in Classical and Quantum Theory [in Russian], Dnepropetrovsk, Izd. DGU (1983), pp. 79–85.

    Google Scholar 

  12. H. W. Brinkmann, in: Proceedings, U. S. National Academy of Sciences, Vol. 9 (1923), p. 1.

  13. A. Peres, Phys. Rev. Lett.,3, 571–572 (1959).

    Google Scholar 

  14. S. Hawking and J. Ellis, Large-Scale Structure of Spacetime [Russian translation], Mir, Moscow (1977).

    Google Scholar 

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Authors
  1. A. M. Baranov
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Additional information

Work performed under the auspices of the Russian State Scientific-Technical Program “Astronomiya.”

Krasnoyarsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 77–82, May, 1995.

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Baranov, A.M. Application of types-N and -O spaces to examples of exact solutions of the gravitational equations. Russ Phys J 38, 503–507 (1995). https://doi.org/10.1007/BF00559307

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  • DOI: https://doi.org/10.1007/BF00559307

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