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The European Physical Journal C

, Volume 69, Issue 1–2, pp 293–303 | Cite as

Astrophysical structures from primordial quantum black holes

  • Salvatore CapozzielloEmail author
  • Gerardo Cristofano
  • Mariafelicia De Laurentis
Regular Article - Theoretical Physics

Abstract

The characteristic sizes of astrophysical structures, up to the whole observed Universe, can be recovered, in principle, assuming that gravity is the overall interaction assembling systems starting from microscopic scales, whose order of magnitude is ruled by the Planck length and the related Compton wavelength. This result agrees with the absence of screening mechanisms for the gravitational interaction and could be connected to the presence of Yukawa corrections in the Newtonian potential which introduce typical interaction lengths. This result directly comes out from quantization of primordial black holes and then characteristic interaction lengths directly emerge from quantum field theory.

Keywords

Black Hole Dark Matter Globular Cluster Magnetic Charge Spiral Galaxy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    E.W. Kolb, M.S. Turner, The Early Universe (Addison–Wesley, New York, 1990) zbMATHGoogle Scholar
  2. 2.
    A. Sakharov, Zh. Eksp. Teor. Fiz. 49, 245 (1965) Google Scholar
  3. 3.
    V.F. Mukhanov, H.A. Feldman, R.H. Brandenberger, Phys. Rep. 215, 203 (1992) CrossRefMathSciNetADSGoogle Scholar
  4. 4.
    V. de Lapparent, M.J. Geller, J.P. Huchra, Astrophys. J. 302, L1 (1986) CrossRefADSGoogle Scholar
  5. 5.
    M.J. Geller, J.P. Hucra, Science 246, 897 (1989) CrossRefADSGoogle Scholar
  6. 6.
    R. De Propris, M.M. Colless, S.P. Driver et al., Mon. Not. R. Astron. Soc. 342, 725 (2003) CrossRefADSGoogle Scholar
  7. 7.
    D. Burkey, A.N. Taylor, Mon. Not. R. Astron. Soc. 347, 255 (2004) CrossRefADSGoogle Scholar
  8. 8.
    F. Calogero, Phys. Lett. A 228, 335 (1997) zbMATHCrossRefMathSciNetADSGoogle Scholar
  9. 9.
    S. Capozziello, S. Funkhouser, Mod. Phys. Lett. A 24, 1121 (2009) CrossRefADSGoogle Scholar
  10. 10.
    S. Capozziello, S. Funkhouser, Mod. Phys. Lett. A 24, 1743 (2009) zbMATHCrossRefADSGoogle Scholar
  11. 11.
    S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007) zbMATHCrossRefMathSciNetGoogle Scholar
  12. 12.
    S. Capozziello, M. Francaviglia, Gen. Relativ. Gravit. 40, 357 (2008) zbMATHCrossRefMathSciNetADSGoogle Scholar
  13. 13.
    T. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010) CrossRefMathSciNetADSGoogle Scholar
  14. 14.
    S.S. McGaugh, Appl. J. Lett. 541, L33 (2000) ADSGoogle Scholar
  15. 15.
    P. de Bernardis et al., Nature 404, 955 (2000) CrossRefADSGoogle Scholar
  16. 16.
  17. 17.
  18. 18.
    S. Capozziello, V.F. Cardone, A. Troisi, Mon. Not. R. Astron. Soc. 375, 1423 (2007) CrossRefADSGoogle Scholar
  19. 19.
    S. Capozziello, E. De Filippis, V. Salzano, Mon. Not. R. Astron. Soc. 394, 947 (2009) CrossRefADSGoogle Scholar
  20. 20.
    S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press/Oxford Science Publications, Oxford, 1983) zbMATHGoogle Scholar
  21. 21.
    S.L. Shapiro, S.A. Teukolsky, Phys. Rev. Lett. 66, 994 (1991) zbMATHCrossRefMathSciNetADSGoogle Scholar
  22. 22.
    S. Ferrara, K. Hayakawa, A. Marrani, arXiv:0805.2498v2 [hep-th]
  23. 23.
    K. Goldstein, N. Iizuka, R.P. Jena, S.P. Trivedi, Phys. Rev. D 72, 124021 (2005) CrossRefMathSciNetADSGoogle Scholar
  24. 24.
    K. Goldstein, S. Kachru, S. Prakash, S.P. Trivedi, arXiv:0911.3586v3
  25. 25.
    S. Fubini, Mod. Phys. Lett. A 6, 347 (1991) zbMATHCrossRefMathSciNetADSGoogle Scholar
  26. 26.
    G. ’t Hooft, Nucl. Phys. 138, 1 (1978) CrossRefADSGoogle Scholar
  27. 27.
    J.L. Cardy, E. Rabinovici, Nucl. Phys. B 205, 1 (1982) CrossRefMathSciNetADSGoogle Scholar
  28. 28.
    G. Cristofano, G. Maiella, R. Musto, F. Nicodemi, Mod. Phys. Lett. A 6, 1779 (1991) CrossRefMathSciNetADSGoogle Scholar
  29. 29.
    G. Cristofano, D. Giuliano, G. Maiella, Phys. Lett. B 504, 345 (2001) zbMATHCrossRefMathSciNetADSGoogle Scholar
  30. 30.
    P.M.A. Dirac, Proc. R. Soc. A 133, 60 (1931) zbMATHCrossRefADSGoogle Scholar
  31. 31.
    S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972) Google Scholar
  32. 32.
    S. Weinberg, Rev. Mod. Phys. 61, 1 (1989) zbMATHCrossRefMathSciNetADSGoogle Scholar
  33. 33.
    M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory (Cambridge Univ. Press, Cambridge, 1987) zbMATHGoogle Scholar
  34. 34.
    I.L. Buchbinder, S.D. Odintsov, I.L. Shapiro, Effective Action in Quantum Gravity (IOP Publishing, Bristol, 1992) Google Scholar
  35. 35.
    C.M. Will, Theory and Experiments in Gravitational Physics (Cambridge Univ. Press, Cambridge, 1993) Google Scholar
  36. 36.
    P.D. Mannheim, D. Kazanas, Astrophys. J. 342, 635 (1989) CrossRefMathSciNetADSGoogle Scholar
  37. 37.
    O.V. Barabash, Yu.V. Shtanov, Phys. Rev. D 60, 064008 (1999) CrossRefADSGoogle Scholar
  38. 38.
    K.S. Stelle, Gen. Relativ. Gravit. 9, 353 (1978) CrossRefMathSciNetADSGoogle Scholar
  39. 39.
    S. Capozziello, A. Stabile, A. Troisi, Phys. Rev. D 76, 104019 (2007) CrossRefMathSciNetADSGoogle Scholar
  40. 40.
    S. Capozziello, E. Elizalde, S. Nojiri, S.D. Odintsov, Phys. Lett. B 671, 193 (2009) CrossRefADSGoogle Scholar
  41. 41.
    A.H. Cook, in 300 Years of Gravitation, ed. by S. Hawking, W. Israel (Cambridge Univ. Press, Cambridge, 1987) Google Scholar
  42. 42.
    E. Fischbach, D. Sudarsky, A. Szafer, C. Talmadge, S.H. Aroson, Phys. Rev. Lett. 56, 3 (1986) CrossRefADSGoogle Scholar
  43. 43.
    C.C. Speake, T.J. Quinn, Phys. Rev. Lett. 61, 1340 (1988) CrossRefADSGoogle Scholar
  44. 44.
    D.H. Eckhardt, C. Jekeli, A.R. Lazarewicz, A.J. Romaides, Phys. Rev. Lett. 60, 2567 (1988) CrossRefADSGoogle Scholar
  45. 45.
    Y. Fujii, Phys. Lett. B 202, 246 (1988) CrossRefADSGoogle Scholar
  46. 46.
    J.D. Anderson et al., Phys. Rev. Lett. 81, 2858 (1998) CrossRefADSGoogle Scholar
  47. 47.
    R.H. Sanders, Astron. Astrophys. Rev. 2, 1 (1990) CrossRefADSGoogle Scholar
  48. 48.
    M. Capaccioli, S. Capozziello, G. Longo, R. de Ritis, Astron. Nachr. 318, 1 (1997) zbMATHCrossRefADSGoogle Scholar
  49. 49.
    J. Binney, S. Tremaine, Galactic Dynamics (Princeton University Press, Princeton, 1987) zbMATHGoogle Scholar
  50. 50.
    B.A. Vorontsov-Vel’yaminov, Extragalactic Astronomy (Harwood Academic Pub., London, 1987) Google Scholar
  51. 51.
    G.O. Abell, Astrophys. J. S 3, 211 (1958) CrossRefADSGoogle Scholar
  52. 52.
    P.J.E. Peebles, Principles of Physical Cosmology (Princeton Univ. Press, Princeton, 1993) Google Scholar
  53. 53.
    S. Burles, K.M. Nollett, M.S. Turner, Phys. Rev. D 63, 063512 (2001) CrossRefADSGoogle Scholar
  54. 54.
    D.H. Eckhardt, Phys. Rev. D 48, 3762 (1993) CrossRefADSGoogle Scholar
  55. 55.
    O. Bertolami, J.M. Mourao, J. Perez-Mercader, Phys. Lett. B 311, 27 (1993) CrossRefADSGoogle Scholar
  56. 56.
    T. Goldman, J. Pérez-Mercader, F. Cooper, M.M. Nieto, Phys. Lett. B 281, 219 (1992) CrossRefADSGoogle Scholar
  57. 57.
    J.D. Barrow, F.J. Tipler, The Anthropic Cosmological Principle (Oxford Univ. Press, Oxford, 1986) Google Scholar
  58. 58.
    S. Roy, Statistical Geometry and Applications to Microphysics and Cosmology (Kluwer Academic, Dordrecht, 1998) zbMATHGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • Salvatore Capozziello
    • 1
    • 2
    Email author
  • Gerardo Cristofano
    • 1
    • 2
  • Mariafelicia De Laurentis
    • 1
    • 2
  1. 1.Dipartimento di Scienze FisicheUniversità di Napoli “Federico II”NapoliItaly
  2. 2.INFN Sez. di NapoliCompl. Univ. di Monte S. AngeloNapoliItaly

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