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The physical meaning of the “boost-rotation symmetric” solutions within the general interpretation of Einstein's theory of gravitation

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Abstract

The answer to the question, what physical meaning should be attributed to the so-called boost-rotation symmetric exact solutions to the field equations of general relativity, is provided within the general interpretation scheme for the “theories of relativity,” based on group theoretical arguments, and set forth by Erich Kretschmann already in the year 1917.

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References

  1. Einstein, A.: Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl., 844 (1915)

  2. Hilbert, D.: Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 395 (1915)

  3. Ricci, G., Levi-Civita, T.: Math. Ann. 54, 125 (1900)

    Article  MathSciNet  Google Scholar 

  4. Kretschmann, E.: Ann. d. Phys. 48, 907, 943 (1915)

    Google Scholar 

  5. Kretschmann, E.: Ann. d. Phys. 53, 575 (1917)

    ADS  Google Scholar 

  6. Frank, Ph.: Jahrbuch Fortschr. Math. 46, 1292 (1917)

    Google Scholar 

  7. Einstein, A.: Ann. d. Phys. 49, 769 (1916)

    Article  ADS  Google Scholar 

  8. Einstein, A.: Ann. d. Phys. 55, 241 (1918)

    Article  ADS  Google Scholar 

  9. Bondi, H.: Rev. Mod. Phys. 29, 423 (1957)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  10. Bonnor, W.B., Swaminarayan, N.S.: Zeits. f. Phys. 177, 240 (1964)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. Israel, W., Khan, K.A.: Nuovo. Cim. 33, 331 (1964)

    Article  MATH  MathSciNet  Google Scholar 

  12. Bonnor, W.B.: Wiss. Zeitschr. Univ. Jena (Math-Nat. Reihe) 15, 71 (1966)

    Google Scholar 

  13. Bičák, J.: Proc Roy. Soc. A 302, 201 (1968)

    Article  ADS  Google Scholar 

  14. Bičák, J., Hoenselaers, C., Schmidt, B.G.: Proc. Roy. Soc. Lond. A 390, 397, 411(1983)

    Google Scholar 

  15. Bičák, J., Schmidt, B.G.: J. Math. Phys. 25, 600 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  16. Bonnor, W.B.: Gen. Rel. Grav. 15, 535 (1983)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Bonnor, W.B.: Gen. Rel. Grav. 20, 607 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  18. Bičák, J., Schmidt, B.G.: Phys. Rev. D 40, 1827 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  19. Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E.: Exact solutions of Einstein's field equations. Cambridge Monographs on Mathematical Physics, 2nd ed. Cambridge Univ. Press (2003)

  20. Weyl, H.: Ann. Phys. (Leipzig) 54, 117 (1917)

    ADS  Google Scholar 

  21. Levi-Civita, T.: Rend. Acc. dei Lincei, 28, 3 (1919)

    Google Scholar 

  22. Schwarzschild, K.: Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl., 189 (1916)

  23. Hilbert, D.: Nachr. Ges. Wiss. Göttingen, Math. Phys. Kl., 53 (1917)

  24. Lichnerowicz, A.: Théories relativistes de la gravitation et de l'électro-magnétisme, Masson, Paris. (1955)

  25. Synge, J.L.: Proc. R. Irish Acad. 53A, 83 (1950)

    MathSciNet  Google Scholar 

  26. Kruskal, M.D.: Phys. Rev. 119, 1743 (1960)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  27. Szekeres, G.: Publ. Math. Debrecen 7, 285 (1960)

    MATH  MathSciNet  Google Scholar 

  28. Weyl, H.: Ann. d. Phys. 59, 185 (1919)

    Article  ADS  Google Scholar 

  29. Bach, R., Weyl, H.: Math. Zeitschrift 13, 134 (1922)

    Article  Google Scholar 

  30. Beck, G.: Zeitschr. f. Phys. 33, 713 (1925)

    Article  ADS  Google Scholar 

  31. Antoci, S., Liebscher, D.-E.: Astron. Nachr. 322, 137 (2001) http://arXiv.org/abs/gr-qc/0102084

  32. Antoci, S., Liebscher, D.-E., Mihich, L.: Astron. Nachr. 324, 485 (2003) http://arxiv.org/abs/gr-qc/0107007.

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Antoci, S., Liebscher, DE. & Mihich, L. The physical meaning of the “boost-rotation symmetric” solutions within the general interpretation of Einstein's theory of gravitation. Gen Relativ Gravit 38, 15–22 (2006). https://doi.org/10.1007/s10714-005-0206-9

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  • DOI: https://doi.org/10.1007/s10714-005-0206-9

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