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General Relativity and Gravitation

, Volume 45, Issue 9, pp 1771–1785 | Cite as

Consequences of \(f(R)\) theories of gravity on gravitational leptogenesis

  • G. Lambiase
  • S. Mohanty
  • L. Pizza
Research Article

Abstract

\(f(R)\)-theories of gravity are reviewed in the framework of the matter-antimatter asymmetry in the Universe. The asymmetry is generated by the gravitational coupling of heavy (Majorana) neutrinos with the Ricci scalar curvature. In order that the mechanism works, a time varying non-zero Ricci curvature is necessary. The latter is provided by \(f(R)\) cosmology, whose Lagrangian density is of the form \(\mathcal{L}(R)\sim f(R)\), with \(f(R)\sim R+\alpha R^n\).

Keywords

Extended theories of gravity \(f\)(R) theories Lepton asymmetry 

Notes

Acknowledgments

The authors thank the anonymous referee for constructive comments and suggestions. G. Lambiase wishes to thank the Agenzia Spaziale Italiana (ASI) for partial support through the contract ASI number I/034/12/0.

References

  1. 1.
    Reiss, A.G., et al.: Astron. J. 116, 1009 (1998)ADSCrossRefGoogle Scholar
  2. 2.
    Perlmutter, S., et al.: Nature (London) 391, 51 (1998)ADSCrossRefGoogle Scholar
  3. 3.
    Riess, A.G., et al.: ApJ 730, 119 (2012)ADSCrossRefGoogle Scholar
  4. 4.
    Riess, A.G., et al.: ApJ 607, 665 (2004)ADSCrossRefGoogle Scholar
  5. 5.
    Copeland, E.J., Sami, M., Tsujikawa, S.: Int. J. Mod. Phys. D 15, 1753 (2006)MathSciNetADSMATHCrossRefGoogle Scholar
  6. 6.
    Silvestri, A., Trodden, M.: Rept. Prog. Phys. 72, 096901 (2009)MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    Caldwell, R.R., Kamionkowski, M.: Ann. Rev. Nucl. Part. Sci. 59, 397 (2009)ADSCrossRefGoogle Scholar
  8. 8.
    Frieman, J.A., Turner, M.S., Huterer, D.: Annu. Rev. Astron. Astrophys. 46, 385 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    Ellis, J.: Particle Physics and Cosmology, arXiv:astro-ph/0305038Google Scholar
  10. 10.
    Capozziello, S., Lambiase, G.: arXiv:1304.5640 [astro-ph.CO]Google Scholar
  11. 11.
    Capozziello, S., Faraoni, V.: Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics. Springer, Berlin (2010)Google Scholar
  12. 12.
    De Felice, A., Tsujikawa, S.: \(f(R)\) theories. Living Rev. Rel. 13, 3 (2010)Google Scholar
  13. 13.
    Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451 (2010)MathSciNetADSMATHCrossRefGoogle Scholar
  14. 14.
    Nojiri, S., Odintsov, S.D.: Int. J. Geom. Method Mod. Phys. 4, 115 (2007)MathSciNetMATHCrossRefGoogle Scholar
  15. 15.
    Capozziello, S., Francaviglia, M.: Extended theories of gravity and their cosmological and astrophysical applications. Gen. Relativ. Gravit. 40, 357 (2008)MathSciNetADSMATHCrossRefGoogle Scholar
  16. 16.
    Tsujikawa, S.: Phys. Rev. D 77, 023507 (2008)MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    Appleby, S.A., Battye, R.A., Starobinsky, A.A.: JCAP 06, 005 (2010)ADSCrossRefGoogle Scholar
  18. 18.
    Amendola, L., Polarski, D., Tsujikawa, S.: Phys. Rev. Lett. 98, 131302 (2007)MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    Bean, R., Bernat, D., Pogosian, L., Silvestri, A., Trodden, M.: Phys. Rev. D 75, 064020 (2007)MathSciNetADSCrossRefGoogle Scholar
  20. 20.
    Capozziello, S., Lambiase, G., Schmidt, H.J.: Annalen Phys. 9, 39 (2000)MathSciNetADSMATHCrossRefGoogle Scholar
  21. 21.
    Capozziello, S., Lambiase, G.: Gen. Relativ. Gravit. 32, 295 (2000)MathSciNetADSMATHCrossRefGoogle Scholar
  22. 22.
    Capozziello, S., de Laurentis, M., Lambiase, G.: Phys. Lett. B 715, 1 (2012)ADSCrossRefGoogle Scholar
  23. 23.
    Nojiri, S., Odintsov, S.D.: Phys. Rev. D 77, 026007 (2008)MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    Oyaizu, H., Lima, M., Hu, W.: Phys. Rev. D 78, 123524 (2008)ADSCrossRefGoogle Scholar
  25. 25.
    Olmo, G.J.: Phys. Rev. Lett. 95, 261102 (2005)ADSCrossRefGoogle Scholar
  26. 26.
    Pogosian, L., Silvestri, A.: Phys. Rev. D 77, 023503 (2008)ADSCrossRefGoogle Scholar
  27. 27.
    Sawicki, I., Hu, W.: Phys. Rev. D 75, 127502 (2007)MathSciNetADSCrossRefGoogle Scholar
  28. 28.
    Li, B., Barrow, J.D.: Phys. Rev. D 75, 084010 (2007)MathSciNetADSCrossRefGoogle Scholar
  29. 29.
    Clifton, T.: Phys. Rev. D 78, 083501 (2008)ADSCrossRefGoogle Scholar
  30. 30.
    Capozziello, S., Tsujikawa, S.: Phys. Rev. D 77, 107501 (2008)ADSCrossRefGoogle Scholar
  31. 31.
    Kolb, E.W., Turner, M.S.: The Early Universe. Addison-Wesley Publishing Company, Reading (1989)Google Scholar
  32. 32.
    Copi, C.J., Schramm, D.N., Turner, M.S.: Science 267, 192 (1995)ADSCrossRefGoogle Scholar
  33. 33.
    Burles, S., Nollett, K.M., Turner, M.S.: Phys. Rev. D 63, 063512 (2001)ADSCrossRefGoogle Scholar
  34. 34.
    Hinshaw, G., et al.: arXiv:1212.5226v2 [astro-ph.CO]Google Scholar
  35. 35.
    Spergel, D.N., et al.: Astrophys. J. Suppl. 170, 377 (2007)ADSCrossRefGoogle Scholar
  36. 36.
    Bennet, C.L., et al.: Ap. J. Suppl. Ser. 148, 15 (2003)ADSGoogle Scholar
  37. 37.
    Sakharov, A.D.: JETP Lett. 5, 24 (1967)ADSGoogle Scholar
  38. 38.
    Cohen, A., Kaplan, D.: Phys. Lett. B 199, 251 (1987)ADSCrossRefGoogle Scholar
  39. 39.
    Fukugita, M., Yanagida, T.: Phys. Lett. B 174, 45 (1986)ADSCrossRefGoogle Scholar
  40. 40.
    Li, H., Li, M., Zhang, X.: Phys. Rev. D 70, 047302 (2004)ADSCrossRefGoogle Scholar
  41. 41.
    Gu, P., Wang, X., Zhang, X.: Phys. Rev. D 68, 087301 (2003)ADSCrossRefGoogle Scholar
  42. 42.
    Feng, B., Li, H., Li, M., Zhang, X.: Phys. Lett. B 620, 27 (2005)ADSCrossRefGoogle Scholar
  43. 43.
    Li, M., Wang, X., Feng, B., Zhang, X.: Phys. Rev. D 65, 103511 (2002)ADSCrossRefGoogle Scholar
  44. 44.
    Davoudiasl, H., Kitano, R., Kribs, G.D., Murayama, H., Steinhardt, P.: Phys. Rev. Lett. 93, 201301 (2004)ADSCrossRefGoogle Scholar
  45. 45.
    Mohseni Sadjadi, H.: Phys. Rev. D 77, 103501 (2008)ADSCrossRefGoogle Scholar
  46. 46.
    Lambiase, G., Scarpetta, G.: Phys. Rev. D 74, 087504 (2006)ADSCrossRefGoogle Scholar
  47. 47.
    Lambiase, G., Mohanty, S., Prasanna, A.R.: Phys. Rev. Lett. 96, 071302 (2006)ADSCrossRefGoogle Scholar
  48. 48.
    Alexander, S.H.S., Peskin, M.E., Sheikh-Jabbari, M.M.: Phys. Rev. Lett. 96, 081301 (2006)ADSCrossRefGoogle Scholar
  49. 49.
    Shiromizu, T., Koyama, K.: JCAP 07, 011 (2004)ADSCrossRefGoogle Scholar
  50. 50.
    Bento, M.C., Gonzalez Felipe, R., Santos, N.M.C.: Phys. Rev. D 71, 123517 (2005)ADSCrossRefGoogle Scholar
  51. 51.
    De Felice, A., Trodden, M.: Phys. Rev. D 72, 043512 (2005)ADSCrossRefGoogle Scholar
  52. 52.
    Alberghi, G.L., Casadio, R., Tronconi, A.: Mod. Phys. Lett. A 22, 339 (2007)ADSCrossRefGoogle Scholar
  53. 53.
    Alberghi, G.L.: Phys. Rev. D 81, 103515 (2010)ADSCrossRefGoogle Scholar
  54. 54.
    Brandenberger, R.H., Yamaguchi, M.: Phys. Rev. D 68, 023505 (2003)ADSCrossRefGoogle Scholar
  55. 55.
    Barenboim, G., Rasero, J.: JHEP 1207, 028 (2012)ADSCrossRefGoogle Scholar
  56. 56.
    Barenboim, G., Rasero, J.: JHEP 1103, 097 (2011)ADSCrossRefGoogle Scholar
  57. 57.
    Carmona, J.M., Cortes, J.L., Das, A.K., Gamboa, J., Mende, F.: Mod. Phys. Lett. A 21, 883 (2006)ADSCrossRefGoogle Scholar
  58. 58.
    Mukhopadhyay, B.: Mod. Phys. Lett. A 20, 2145 (2005)ADSMATHCrossRefGoogle Scholar
  59. 59.
    Poplawski, N.J.: Phys. Rev. D 83, 084033 (2011)Google Scholar
  60. 60.
    Barenboim, G., Mavromatos, N.E.: Phys. Rev. D 70, 093015 (2004)ADSCrossRefGoogle Scholar
  61. 61.
    Mavromatos, N., Sarkar, S.: e-Print: arXiv:1211.0968 [hep-ph]Google Scholar
  62. 62.
    Dolgov, A.D.: Phys. Atom. Nucl. 73, 588 (2010)ADSCrossRefGoogle Scholar
  63. 63.
    Dolgov, A.D., Kawasaki, M., Kevlishvili, N.: Nucl. Phys. B 807, 229 (2009)ADSMATHCrossRefGoogle Scholar
  64. 64.
    Lambiase, G., Mohanty, S.: Phys. Rev. D 84, 023509 (2011)ADSCrossRefGoogle Scholar
  65. 65.
    Lambiase, G., Mohanty, S.: JCAP 12, 008 (2007)Google Scholar
  66. 66.
    Luty, M.A.: Phys. Rev. D 45, 455 (1992)ADSCrossRefGoogle Scholar
  67. 67.
    Flanz, M., Paschos, E.A., Sarkar, U.: Phys. Lett. B 345, 248 (1995)ADSCrossRefGoogle Scholar
  68. 68.
    Hu, W., Sawicki, I.: Phys. Rev. D 76, 064004 (2007)ADSCrossRefGoogle Scholar
  69. 69.
    Starobinsky, A.A.: JETP Lett. 86, 157 (2007)ADSCrossRefGoogle Scholar
  70. 70.
    Starobinsky, A.A.: Phys. Lett. B 91, 99 (1980)ADSCrossRefGoogle Scholar
  71. 71.
    Berry, C.P.L., Gair, J.R.: Phys. Rev. D 83, 104022 (2011)ADSCrossRefGoogle Scholar
  72. 72.
    Näf, J., Jetzer, Ph: Phys. Rev. D 84, 024027 (2011)ADSCrossRefGoogle Scholar
  73. 73.
    Clifton, T., Barrow, J.D.: Phys. Rev. D 72, 103005 (2005)Google Scholar
  74. 74.
    Kang, J.U., Panatopoulos, G.: Phys. Lett. B 677, 6 (2009)ADSCrossRefGoogle Scholar
  75. 75.
    Bernstein, J., Brown, L.S., Feinberg, G.: Rev. Mod. Phys. 61, 25 (1989)ADSCrossRefGoogle Scholar
  76. 76.
    Torres, D.F., Vucetich, H., Plastino, A.: Phys. Rev. Lett. 79, 1588 (1997)ADSCrossRefGoogle Scholar
  77. 77.
    Lambiase, G.: Phys. Rev. D 72, 087702 (2005)ADSCrossRefGoogle Scholar
  78. 78.
    Coc, A., et al.: Astrophys. J. 600, 544 (2004)ADSCrossRefGoogle Scholar
  79. 79.
    Iocco, F., Mangano, G., Miele, G., Pisanti, O., Serpico, P.D.: Phys. Rep. 472, 1 (2009)ADSCrossRefGoogle Scholar
  80. 80.
    Kuzmin, V.A., Rubakov, V.A., Shaposhnikov, M.E.: Phys. Lett. B 155, 36 (1985)ADSCrossRefGoogle Scholar
  81. 81.
    Weinberg, S.: Phys. Rev. Lett. 43, 1566 (1979)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Dipartimento di Fisica “E. R. Caianiello”Università degli Studi di Salerno FiscianoItaly
  2. 2.INFNSezione di NapoliNaplesItaly
  3. 3.Physical Research LaboratoryAhmedabadIndia
  4. 4.Universitá di PisaPisaItaly

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