General Relativity and Gravitation

, Volume 41, Issue 12, pp 2847–2866 | Cite as

Dark matter and cosmic acceleration from Wesson’s IMT

Research Article

Abstract

In the present work a procedure is build up, that allows obtaining dark matter (DM) and cosmic acceleration in our 4D universe embedded in a 5D manifold. Both, DM and the factor causing cosmic acceleration, as well ordinary matter are induced in the 4D space-time by a warped, but empty from matter, 5D bulk. The procedure is carried out in the framework of the Weyl–Dirac version (Israelit, Found Phys 35:1725, 2005; Israelit, Found Phys 35:1769, 2005) of Paul Wesson’s Induced Matter Theory (Wesson, Space-time matter, 1999) enriched by Rosen’s approach (Found Phys 12:213, 1982). Considering chaotically oriented Weyl vector fields, which exist in microscopic cells, we obtain cold dark matter (CDM) consisting of weylons, massive bosons having spin 1. Assuming homogeneity and isotropy at large scale we derive cosmological equations in which luminous matter, CDM and dark energy may be considered separately. Making in the given procedure use of present observational data one can develop a model of the Universe with conventional matter, DM and cosmic acceleration, induced by the 5D bulk.

Keywords

General relativity Higher dimensions Wesson’s IMT Dark matter Cosmic acceleration 

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References

  1. 1.
    Turner M.S., Huterer D.: Journal of the Physical Soc. of Japan 76, 111015 (2007) arXiv:0706.2186 [astro-ph]CrossRefADSGoogle Scholar
  2. 2.
    Durrer R., Maartens R.: Gen. Relativ. Gravit. 40, 301 (2008). doi:10.1007/s10714-007-0549-5 CrossRefMathSciNetADSMATHGoogle Scholar
  3. 3.
    Kamionkowski, M.: Dark Matter and Dark Energy. arXiv:0706.2986[astro-ph]. To be published by Cambridge University. In: Visions of Discovery (in honor of Charles Townes)Google Scholar
  4. 4.
    Kolb E.W., Turner M.S.: The Early Universe. Addison-Wesley, Reading (1990)MATHGoogle Scholar
  5. 5.
    Riess A. et al.: Astron. J. 116, 1009 (1998). doi:10.1086/300499 CrossRefADSGoogle Scholar
  6. 6.
    Perlmutter S. et al.: Astrophys. J. 517, 565 (1999). doi:10.1086/307221 CrossRefADSGoogle Scholar
  7. 7.
    Halpern P., Wesson P.: Brave New Universe. Joseph Henry Press, Washington (2006)Google Scholar
  8. 8.
    Wesson P.S.: Space-Time-Matter. World Scientific, Singapore (1999)MATHGoogle Scholar
  9. 9.
    Israelit M.: Found. Phys. 35, 1725 (2005). doi:10.1007/s10701-005-6518-5 CrossRefMathSciNetADSMATHGoogle Scholar
  10. 10.
    Israelit M.: Found. Phys. 35, 1769 (2005). doi:10.1007/s10701-005-6523-8 CrossRefMathSciNetADSMATHGoogle Scholar
  11. 11.
    Rosen N.: Found. Phys. 12, 213 (1982). doi:10.1007/BF00726849 CrossRefMathSciNetADSGoogle Scholar
  12. 12.
    Kaluza, T.: Sitzungsber. Preuss. Akad. Wiss. 966 (1921)Google Scholar
  13. 13.
    Klein O.: Z. Phys. 37, 895 (1926). doi:10.1007/BF01397481 CrossRefADSGoogle Scholar
  14. 14.
    Einstein, A., Mayer, W.: Sitzungsber. Preuss. Akad. Wiss. 541 (1931)Google Scholar
  15. 15.
    Einstein, A., Mayer, W.: Sitzungsber. Preuss. Akad. Wiss. 130 (1932)Google Scholar
  16. 16.
    Einstein A., Bergmann P.G.: Ann. Math. 39, 683 (1938). doi:10.2307/1968642 CrossRefMathSciNetGoogle Scholar
  17. 17.
    Bergmann, P.G.: Introduction to the Theory of Relativity, Chaps. 17 and 18. Prentice-Hall, Englewood Cliffs (1942)Google Scholar
  18. 18.
    Joseph D.W.: Phys. Rev. 126, 319 (1962). doi:10.1103/PhysRev.126.319 CrossRefMathSciNetADSMATHGoogle Scholar
  19. 19.
    Akama K.: Lect. Notes Phys. 176, 267 (1982). doi:10.1007/3-540-11994-9_41 CrossRefADSGoogle Scholar
  20. 20.
    Rubakov V.A., Shaposhnikov M.E.: Phys. Lett B 125, 136 (1983)CrossRefADSGoogle Scholar
  21. 21.
    Visser M.: Phys. Lett B159, 22 (1985)MathSciNetADSGoogle Scholar
  22. 22.
    Randall L., Sundrum R.: Phys. Rev. Lett. 83, 3370 (1999). doi:10.1103/PhysRevLett.83.3370 CrossRefMathSciNetADSMATHGoogle Scholar
  23. 23.
    Randall L., Sundrum R.: Phys. Rev. 83, 4690 (1999)MathSciNetADSMATHGoogle Scholar
  24. 24.
    Arkani-Hamed N., Dimipoulos S., Dvali G.: Phys. Lett. B 429, 263 (1989). doi:10.1016/S0370-2693(98)00466-3 ADSGoogle Scholar
  25. 25.
    Arkani-Hamed N., Dimipoulos S., Dvali G.: Phys. Rev. D Part. Fields 59, 086004 (1999). doi:10.1103/PhysRevD.59.086004 ADSGoogle Scholar
  26. 26.
    Wesson P.S., Ponce de Leon J.: J. Math. Phys. 33, 3883 (1992). doi:10.1063/1.529834 CrossRefMathSciNetADSMATHGoogle Scholar
  27. 27.
    Wesson P.S.: Phys. Lett. B 276, 299 (1992). doi:10.1016/0370-2693(92)90322-U CrossRefMathSciNetADSGoogle Scholar
  28. 28.
    Wesson P.S.: Astrophys. J. 394, 19 (1992). doi:10.1086/171555 CrossRefADSGoogle Scholar
  29. 29.
    Ponce de Leon J., Wesson P.S.: J. Math. Phys. 34, 4080 (1993). doi:10.1063/1.530028 CrossRefMathSciNetADSMATHGoogle Scholar
  30. 30.
    Overduin J.M., Wesson P.S.: Phys. Rep. 283, 303–380 (1997). doi:10.1016/S0370-1573(96)00046-4 CrossRefMathSciNetADSGoogle Scholar
  31. 31.
    Wesson P.S., Ponce de Leon J., Lim P., Liu H.: Int. J. Mod. Phys. D 2, 163 (1993). doi:10.1142/S0218271893000143 CrossRefMathSciNetADSMATHGoogle Scholar
  32. 32.
    Wesson P.S.: Astrophys. J. 436, 547 (1994). doi:10.1086/174928 CrossRefADSGoogle Scholar
  33. 33.
    Liu H.: Class. Quantum Gravity 14, 1651 (1997). doi:10.1088/0264-9381/14/7/006 CrossRefADSMATHGoogle Scholar
  34. 34.
    Mashhoon B., Wesson P.S., Liu H.: Gen. Relativ. Gravit. 30, 555 (1998). doi:10.1023/A:1018814123514 CrossRefMathSciNetADSMATHGoogle Scholar
  35. 35.
    Wesson P.S., Mashhoon B., Liu H., Sajko W.N.: Phys. Lett. B 456, 34 (1999). doi:10.1016/S0370-2693(99)00498-0 CrossRefADSGoogle Scholar
  36. 36.
    Ponce de Leon J.: Phys. Lett. B 523, 311 (2001). doi:10.1016/S0370-2693(01)01349-1 CrossRefADSGoogle Scholar
  37. 37.
    Seahra S.S., Wesson P.S.: Gen. Relativ. Gravit. 33, 1731 (2001). doi:10.1023/A:1013023100565 CrossRefMathSciNetADSMATHGoogle Scholar
  38. 38.
    Wesson P.S., Seahra S.S.: Astrophys. J L75, 557 (2001)Google Scholar
  39. 39.
    Liu H., Wesson P.S.: Astrophys. J. 562, 1 (2001). doi:10.1086/323525 CrossRefADSGoogle Scholar
  40. 40.
    Liu H., Wesson P.S.: Int. J. Mod. Phys. D 10, 905 (2001). doi:10.1142/S0218271801001396 CrossRefMathSciNetADSMATHGoogle Scholar
  41. 41.
    Ponce de Leon J.: Mod. Phys. Lett. A16, 1405 (2001)MathSciNetADSGoogle Scholar
  42. 42.
    Ponce de Leon J.: Mod. Phys. Lett. A17, 2425 (2002)MathSciNetADSGoogle Scholar
  43. 43.
    Seahra S.S.: Phys. Rev. D Part. Fields 65, 124004 (2002). doi:10.1103/PhysRevD.65.124004 MathSciNetADSGoogle Scholar
  44. 44.
    Wesson P.S.: Phys. Lett. B538, 159 (2002)MathSciNetADSGoogle Scholar
  45. 45.
    Ponce de Leon J.: Gravit. Cosmol. 8, 272 (2002)MathSciNetADSMATHGoogle Scholar
  46. 46.
    Seahra S.S.: Phys. Rev. D Part. Fields 68, 104027 (2003). doi:10.1103/PhysRevD.68.104027 MathSciNetADSGoogle Scholar
  47. 47.
    Seahra S.S., Wesson P.S.: Class. Quantum Gravity 20, 1321 (2003). doi:10.1088/0264-9381/20/7/306 CrossRefMathSciNetADSMATHGoogle Scholar
  48. 48.
    Wesson P.S.: Found. Phys. Lett. 19, 285 (2006). doi:10.1007/s10702-006-0519-2 CrossRefMathSciNetMATHGoogle Scholar
  49. 49.
    Mashhoon B., Wesson P.: Gen. Relativ. Gravit. 39, 1403 (2007). doi:10.1007/s10714-007-0445-z CrossRefMathSciNetADSMATHGoogle Scholar
  50. 50.
    Weyl, H.: Sitzungsber. Preuss. Akad. Wiss. 465 (1918)Google Scholar
  51. 51.
    Weyl H.: Ann. Phys. Leipzig 59, 101 (1919). doi:10.1002/andp.19193641002 CrossRefADSGoogle Scholar
  52. 52.
    Weyl H.: Raum, Zeit, Materie. Springer, Berlin (1923)Google Scholar
  53. 53.
    Dirac P.A.M.: Proc. R. Soc. Lond. A Math. Phys. Sci. 33, 403 (1973). doi:10.1098/rspa.1973.0070 CrossRefMathSciNetADSGoogle Scholar
  54. 54.
    Israelit M.: Found. Phys. 37, 1628 (2007). doi:10.1007/s10701-007-9181-1 CrossRefMathSciNetADSMATHGoogle Scholar
  55. 55.
    Israelit M.: Gen. Relativ. Gravit. 40, 2469 (2008). doi:10.1007/s10714-008-0633-5 CrossRefMathSciNetADSMATHGoogle Scholar
  56. 56.
    Proca A.L.: J. Phys. Radium 7, 347 (1936). doi:10.1051/jphysrad:0193600708034700 CrossRefMATHGoogle Scholar
  57. 57.
    Israelit M., Rosen N.: Found. Phys. 22, 555 (1992). doi:10.1007/BF00732923 CrossRefMathSciNetADSGoogle Scholar
  58. 58.
    Israelit M., Rosen N.: Found. Phys. 24, 901 (1994). doi:10.1007/BF02067654 CrossRefADSGoogle Scholar
  59. 59.
    Israelit M., Rosen N.: Found. Phys. 25, 763 (1995). doi:10.1007/BF02059127 CrossRefADSGoogle Scholar
  60. 60.
    Israelit M.: The Weyl-Dirac Theory and Our Universe. Nova Science, Commack (1999)Google Scholar
  61. 61.
    Israelit M., Rosen N.: Astrophys. J. 342, 627 (1989). doi:10.1086/167622 CrossRefMathSciNetADSGoogle Scholar
  62. 62.
    Weinberg, S.: Gravitation and Cosmology, p. 469. Wiley, New York (1972)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Physics and MathematicsUniversity of Haifa-OranimTivonIsrael

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