Trans-Planckian particle creation in cosmology and ultrahigh energy cosmic rays

  • A. A. Starobinsky
  • I. I. Tkachev
Gravity, Astrophysics


We consider observational constraints on the creation of particles induced by hypothetical trans-Planckian effects during the current stage of the Universe’s expansion. We show that compatibility with the diffuse γ-ray background measured by the EGRET experiment strongly restricts this creation. In particular, it rules out the possibility of detecting signatures of such short-distance effects in anisotropies of the cosmic microwave background radiation. On the other hand, the possibility that some part of ultrahigh-energy cosmic rays originates from new trans-Planckian physics remains open.

PACS numbers

98.80.Cq 98.70.Vc 04.62.+v 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    W. G. Unruh, Phys. Rev. D 51, 2827 (1995); R. Brout, S. Massar, R. Parentani, and P. Spindel, Phys. Rev. D 52, 4559 (1995); S. Corley and T. Jacobson, Phys. Rev. D 54, 1568 (1996).CrossRefADSMathSciNetGoogle Scholar
  2. 2.
    J. Martin and R. H. Brandenberger, Phys. Rev. D 63, 123501 (2001); J. C. Niemeyer, Phys. Rev. D 63, 123502 (2001).Google Scholar
  3. 3.
    C. Csaki, J. Erlich, and C. Grojean, Nucl. Phys. B 604, 312 (2001); D. J. H. Chung, E. W. Kolb, and A. Riotto, Phys. Rev. D 65, 083516 (2002).ADSMathSciNetGoogle Scholar
  4. 4.
    G. E. Volovik, Pis’ma Zh. Éksp. Teor. Fiz. 73, 182 (2001) [JETP Lett. 73, 162 (2001)]; G. E. Volovik, Phys. Rep. 351, 195 (2001).Google Scholar
  5. 5.
    C. S. Chu, B. R. Greene, and G. Shiu, Mod. Phys. Lett. A 16, 2231 (2001); F. Lizzi, G. Mangano, G. Miele, and M. Peloso, hep-th/0203099 (2002).ADSMathSciNetGoogle Scholar
  6. 6.
    J. Kowalski-Glikman, Phys. Lett. B 499, 1 (2001); N. R. Bruno, G. Amelino-Camelia, and J. Kowalski-Glikman, Phys. Lett. B 522, 133 (2001).ADSzbMATHMathSciNetGoogle Scholar
  7. 7.
    A. A. Starobinsky, Pis’ma Zh. Éksp. Teor. Fiz. 73, 415 (2001) [JETP Lett. 73, 371 (2001)].Google Scholar
  8. 8.
    U. H. Danielsson, hep-th/0203198 (2002); R. Easter, B. R. Greene, W. H. Kinney, and G. Shiu, hep-th/0204129 (2002).Google Scholar
  9. 9.
    G. Amelino-Camelia, L. Doplicher, S. Nam, and Y.-S. Seo, hep-th/0109191 (2001); N. Kaloper, M. Kleban, A. E. Lawrence, and S. Shenker, hep-th/0201158 (2002).Google Scholar
  10. 10.
    J. R. Ellis, K. Farakos, N. E. Mavromatos, et al., Astrophys. J. 535, 139 (2000); G. Amelino-Camelia, N. E. Mavromatos, S. Sarkar, et al., Nature 393, 763 (1998).CrossRefADSGoogle Scholar
  11. 11.
    S. F. Hassan and H. S. Sloth, hep-th/0204110 (2002).Google Scholar
  12. 12.
    S. Shankaranarayanan, gr-qc/0203060 (2002).Google Scholar
  13. 13.
    L. Mersini, M. Bastero-Gil, and P. Kanti, Phys. Rev. D 64, 043508 (2001).Google Scholar
  14. 14.
    Ya. B. Zeldovich and A. A. Starobinsky, Zh. Éksp. Teor. Fiz. 61, 2161 (1971) [Sov. Phys. JETP 34, 1159 (1972)].Google Scholar
  15. 15.
    A. A. Starobinsky, in Quantum Gravity, Ed. by M. A. Markov and P. C. West (Plenum, New York, 1984), p. 103.Google Scholar
  16. 16.
    P. Bhattacharjee and G. Sigl, Phys. Rep. 327, 109 (2000).CrossRefADSGoogle Scholar
  17. 17.
    T. Weiler, Phys. Rev. Lett. 49, 234 (1982).CrossRefADSGoogle Scholar
  18. 18.
    P. Sreekumar, D. L. Bertsch, B. L. Dingus, et al., Astrophys. J. 494, 523 (1998).CrossRefADSGoogle Scholar
  19. 19.
    R. H. Brandenberger and J. Martin, hep-th/0202142 (2002).Google Scholar
  20. 20.
    M. Takeda, N. Hayashida, K. Honda, et al., Astrophys. J. 522, 225 (1999).CrossRefADSGoogle Scholar
  21. 21.
    O. E. Kalashev, V. A. Kuzmin, D. V. Semikoz, and I. I. Tkachev, astro-ph/0107130.Google Scholar
  22. 22.
    P. G. Tinyakov and I. I. Tkachev, Pis’ma Zh. Éksp. Teor. Fiz. 74, 3 (2001) [JETP Lett. 74, 1 (2001)]; P. G. Tinyakov and I. I. Tkachev, Pis’ma Zh. Éksp. Teor. Fiz. 74, 499 (2001) [JETP Lett. 74, 445 (2001)].Google Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 2002

Authors and Affiliations

  • A. A. Starobinsky
    • 1
  • I. I. Tkachev
    • 2
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  2. 2.Theory DivisionCERNGeneva 23Switzerland

Personalised recommendations