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Motions in Taub-NUT–de Sitter spinning spacetime

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Abstract

We investigate the geodesic motion of pseudo-classical spinning particles in the Taub-NUT–de Sitter spacetime. We obtain the conserved quantities from the solutions of the generalized Killing equations for spinning spaces. Applying the formalism the motion of a pseudo-classical Dirac fermion is analyzed on a cone and plane.

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References

  1. Barducci A., Casalbuoni R., Lusanna L.: Nuovo Cimento A 35, 377 (1976)

    Article  ADS  Google Scholar 

  2. Berezin F.A., Marinov M.S.: Ann. Phys. N. Y. 104, 336 (1977)

    Article  ADS  MATH  Google Scholar 

  3. Brink L., Deser S., Zumino B., Di Vecchia P., Howe P.: Phys. Lett. B 64, 435 (1976)

    Article  ADS  Google Scholar 

  4. Brink L., Di Vecchia P., Howe P.: Nucl. Phys. B 118, 76 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  5. Casalbuoni R.: Phys. Lett. B 62, 49 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  6. Rietdijk R.H., Van Holten J.W.: Class. Quantum Gravity 7, 247 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Rietdijk R.H., Van Holten J.W.: Class. Quantum Gravity 10, 575 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Van Holten J.W., Rietdijk R.H.: J. Geom. Phys. 11, 559 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Gibbons G.W., Rietdijk R.H., Van Holten J.W.: Nucl. Phys. B 404, 42 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Barducci A., Casalbuoni R., Lusanna L.: Nucl. Phys. B 124, 93–521 (1977)

    Article  ADS  Google Scholar 

  11. Barducci A., Bondi F., Casalbuoni R.: Nuovo Cimento B 64, 287 (1981)

    Article  ADS  Google Scholar 

  12. Van Holten, J.W.: In: Proceedings, Seminar on Mathematical Structures in Field Theories (1986–87). CWI Syllabus, vol. 26, p. 109 (1990)

  13. Khriplovich, I.B.: Spinning particles in a gravitational field, Novosibirsk preprint INR-89-1

  14. Van Holten J.W.: Nucl. Phys. B 356, 3 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  15. Van Holten J.W.: Physica A 182, 279 (1992)

    Article  ADS  Google Scholar 

  16. Van Holten J.W.: Phys. Lett. B 342, 47 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  17. Vaman D., Visinescu M.: Phys. Rev. D 57, 3790 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  18. Visinescu M.: Class. Quantum Gravity 11, 1867 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  19. Baleanu D.: Helv. Phys. Acta 67, 405 (1994)

    MathSciNet  MATH  Google Scholar 

  20. Cherkis S., Hashimoto A.: J. High Energy Phys. 11, 036 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  21. Clarkson R., Ghezelbash A.M., Mann R.B.: J. High Energy Phys. 04, 063 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  22. Clarkson R., Ghezelbash A.M., Mann R.B.: J. High Energy Phys. 08, 025 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  23. Misner, C.W.: Taub-NUT space as a counter example to almost anything. In: Ehlers, J. (ed.) Relativity Theory and Astrophysics 1. Lectures in Applied Mathematics, vol. 8, p. 160. American Mathematical Society, Providence (1967)

  24. Hawking S.W., Hunter C.J., Page D.N.: Phys. Rev. D 59, 044033 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  25. Chamblin A., Emparan R., Johnson C.V., Myers R.C.: Phys. Rev. D 59, 064010 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  26. Mann R.B.: Phys. Rev. D 60, 104047 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  27. Kramer, D., Herlt, E., MacCallum, M., Stephani, H.: Exact solutions of Einstein’s field equations. In: Schmutzer, E. (ed.) Cambridge University Press, Cambridge, England (1979)

  28. Taub A.: . Ann. Math. 53, 472 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  29. Demianski M., Newman E.T.: Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 14, 653 (1966)

    MATH  Google Scholar 

  30. Jackson J.C.: J. Math. Phys. 11, 924 (1970)

    Article  ADS  Google Scholar 

  31. Miller J.G.: J. Math. Phys. 14, 486 (1973)

    Article  ADS  MATH  Google Scholar 

  32. Sackfield A.: Proc. Camb. Philos. Soc. 70, 89 (1971)

    Article  ADS  Google Scholar 

  33. Aliev A.N.: Phys. Rev. D 77, 044038 (2008)

    Article  ADS  Google Scholar 

  34. ’t Hooft G.: Nucl. Phys. B 79, 276 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  35. Schwinger J.S.: Phys. Rev. 144, 1087 (1966)

    Article  MathSciNet  ADS  Google Scholar 

  36. Mignemi S.: Phys. Rev. D 51, 934 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  37. Mcguire P., Ruffini R.: Phys. Rev. D 12, 3019 (1975)

    Article  ADS  Google Scholar 

  38. Guth A.H.: Phys. Rev. D 23, 347 (1981)

    Article  ADS  Google Scholar 

  39. Turner, M.S.: Fermilab-Conf-95-125A (1995)

  40. Turner, M.S.: Fermilab-Conf-95-126A (1998)

  41. Weinberg S.: Rev. Mod. Phys. 61, 1 (1989)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  42. Carroll S.M., Press W.H., Turner E.L.: Ann. Rev. Astron. Astrophys. 30, 499 (1992)

    Article  ADS  Google Scholar 

  43. Turner M.S.: Phys. Rep. 333, 619 (2000)

    Article  ADS  Google Scholar 

  44. Sahni V., Starobinsky A.: Int. J. Mod. Phys. D 9, 373 (2000)

    ADS  Google Scholar 

  45. Carroll S.M.: Living Rev. Relat. 4, 1 (2001)

    ADS  Google Scholar 

  46. Padmanabhan T.: Phys. Rep. 380, 335 (2003)

    Article  MathSciNet  Google Scholar 

  47. Peebles P.J.E., Ratra B.: Rev. Mod. Phys. 75, 559 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  48. Copeland E.J., Sami M., Tsujikawa S.: Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  49. Ishak M.: Found. Phys. 37, 1470 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. Cariglia, M., Krtouš, P., Kubizňák, D.: Dirac equation in Kerr-NUT-(A)dS spacetimes: intrinsic characterization of separability in all dimensions. arXiv: hep-th/1104.4123

  51. Chong Z.-W., Gibbons G.W., Lü H., Pope C.N.: Phys. Lett. B 609, 124 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  52. Yano K.: Ann. Math. 55, 328 (1952)

    Article  MATH  Google Scholar 

  53. Penrose R.: Ann. N. Y. Acad. Sci. 224, 125 (1973)

    Article  ADS  Google Scholar 

  54. Floyd, R.: The dynamics of Kerr fields. Ph.D. thesis, London (1973)

  55. Carter B.: J. Math. Phys. 28, 1535 (1987)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  56. Carter B., McLenaghan R.G.: Phys. Rev. D 19, 1093 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  57. Rietdijk, R.H.: Applications of supersymmetric quantum mechanics. Ph.D. thesis, Amsterdam (1992)

  58. Sorkin R.D.: Phys. Lett. 51, 87 (1983)

    Article  MathSciNet  Google Scholar 

  59. Mueller M., Perry M.J.: Class. Quantum Gravity 3, 65 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  60. Gibbons G.W., Manton N.S.: Nucl. Phys. B 274, 183 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  61. Gibbons G.W., Ruback P.J.: Phys. Lett. B 188, 226 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  62. Gibbons G.W., Ruback P.J.: Commun. Math. Phys. 115, 267 (1988)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  63. Feher, L.G., Horvathy, P.A.: Phys. Lett. B 183, 182 (1987)

    Google Scholar 

  64. Feher, L.G., Horvathy, P.A.: Phys. Lett. B 188, 512 (1987)

    Google Scholar 

  65. Dietz W., Rudiger R.: Proc. Soc. A 375, 361 (1981)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  66. Vaman D., Visinescu M.: Phys. Rev. D 54, 1398 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  67. Kubizňák D., Krtouš P.: Phys. Rev. D 76, 084036 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  68. Barducci, A., Casalbuoni, R., Lusanna, L.: Nucl. Phys. B 180 [FS2], 141 (1981)

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  1. Department of Mathematics, Rajshahi College, Rajshahi, 6000, Bangladesh

    Akhtara Banu

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  1. Akhtara Banu
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Banu, A. Motions in Taub-NUT–de Sitter spinning spacetime. Gen Relativ Gravit 44, 2239–2256 (2012). https://doi.org/10.1007/s10714-012-1386-8

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