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Gravitational Field of Gyratons

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Abstract

A gyraton is an object moving with the speed of light and having finite energy and internal angular momentum (spin). First, we derive the gravitational field of a gyraton in the linear approximation. After this we study solutions of the Einstein equations for gyratons. We demonstrate that these solutions in 4 and higher dimensions reduce to two linear problems in a Euclidean space. We obtain the exact solutions for relativistic gyratons, discuss their properties, and consider special examples.

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References

  1. Tolman, R.C.: Relativity, Thermodynamics, and Cosmology, p. 272. Clarendon, Oxford (1934)

    Google Scholar 

  2. Peres, A.: Phys. Rev. Lett. 3, 571 (1959)

    Article  MATH  ADS  Google Scholar 

  3. Peres, A.: Phys. Rev. 118, 1105 (1960)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Bonnor, W.B.: Commun. Math. Phys. 13, 163 (1969)

    Article  ADS  MathSciNet  Google Scholar 

  5. Frolov, V.P., Fursaev, D.V.: Phys. Rev. D 71, 104034 (2005)

    ADS  Google Scholar 

  6. Frolov, V.P., Israel, W., Zelnikov, A.: Phys. Rev. D 72, 084031 (2005) hep-th/0506001

    ADS  MathSciNet  Google Scholar 

  7. Brinkmann, H.W.: Math. Ann. 94, 119 (1925)

    Article  MathSciNet  Google Scholar 

  8. Jordan, P., Ehlers, J., Kundt, W.: Akad. Wiss. Lit. (Mainz) Abh. Math.-Nat. Kl. 2, 21 (1960)

    MathSciNet  Google Scholar 

  9. Ehlers, J., Kundt, W.: In: Witten, L. (ed.) Gravitation: An Introduction to Current Research, p. 49. Wiley, New York (1962)

    Google Scholar 

  10. Stephani, H., et al.: Exact solutions to Einstein’s Field Equations, 2nd edn. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge (2003), Chap. 31

    Google Scholar 

  11. Blau, M., O’Loughlin, M., Papadopoulos, G., Tseytlin, A.A.: Nucl. Phys. B 673, 57 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Ortín, T.: Gravity and Strings. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge (2004), Chap. 10

    MATH  Google Scholar 

  13. Amati, D., Klimcik, C.: Phys. Lett. B 219, 443 (1989)

    ADS  MathSciNet  Google Scholar 

  14. Horowitz, G.T., Steif, A.R.: Phys. Rev. Lett. 64, 260 (1990)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. Coley, A.: Phys. Rev. Lett. 89, 281601 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  16. Pravda, V., Pravdova, A., Coley, A., Milson, R.: Class. Quantum Gravity 19, 6213 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. Coley, A., Milson, R., Pravda, V., Pravdova, A.: Class. Quantum Gravity 21, 5519 (2004)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Aharonov, Y., Bohm, D.: Phys. Rev. (Ser. 2) 115, 485 (1959)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. Hamilton, J.: Aharonov–Bohm and Other Cyclic Phenomena. Springer Tracts in Modern Physics (1997)

  20. Rubin, M.A., Ordóñez, C.R.: J. Math. Phys. 25, 2888 (1984)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  21. Frolov, V.P., Zelnikov, A.: Class. Quantum Gravity 23, 2119 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  22. Frolov, V.P., Zelnikov, A.: Phys. Rev. D 72, 104005 (2005), hep-th/0509044

    ADS  MathSciNet  Google Scholar 

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  1. Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, AB, T6G 2J1, Canada

    Valeri P. Frolov

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  1. Valeri P. Frolov
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Correspondence to Valeri P. Frolov.

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Frolov, V.P. Gravitational Field of Gyratons. Int J Theor Phys 46, 2181–2191 (2007). https://doi.org/10.1007/s10773-007-9345-y

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  • DOI: https://doi.org/10.1007/s10773-007-9345-y

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