General Relativity and Gravitation

, Volume 14, Issue 7, pp 629–636 | Cite as

Low-energy behavior of a quantized scalar field in the linearly expanding universe

  • Takahiro Azuma
  • Akira Tomimatsu
Research Articles


We study positive frequency mode solutions of a massive scalar field at an initial stage in the spatially flat, linearly expanding Robertson-Walker universe. The essential point is that the initial time is taken to be small enough, but nonzero (e.g., the Planck time), and the mode is determined by a kind of WKB condition. We calculate the created particle spectrum, and show that its low-energy behavior is considerably different from the previous results.


Frequency Mode Scalar Field Initial Time Differential Geometry Massive Scalar 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Chitre, D. M., and Hartle, J. B. (1977).Phys. Rev. D,16, 251.Google Scholar
  2. 2.
    Nariai, H. (1980).Prog. Theor. Phys.,63, 324.Google Scholar
  3. 3.
    Mensky, M. B., and Karmanov, O. Yu. (1980).Gen. Rel. Grav.,12, 267.Google Scholar
  4. 4.
    Castagnino, M. (1980). Preprint ICTP/79-80/43.Google Scholar
  5. 5.
    Azuma, T. (1981).Prog. Theor. Phys.,66, 892.Google Scholar
  6. 6.
    Parker, L. (1977). InAsymptotic Structure of Space-Time, ed. Esposito, F. P., and Witten, L., Plenum Press, New York, p. 107.Google Scholar
  7. 7.
    Fulling, S. A. (1979).Gen. Rel. Grav.,10, 807.Google Scholar
  8. 8.
    Grib, A. A., Mamayev, S. G., and Mostepanenko, V. M. (1976).Gen. Rel. Grav.,7, 535.Google Scholar
  9. 9.
    Azuma, T. in preparation.Google Scholar
  10. 10.
    Horibe, M., and Hosoya, A. (1981). Preprint OU-HET 41.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Takahiro Azuma
    • 1
  • Akira Tomimatsu
    • 1
  1. 1.Research Institute for Theoretical PhysicsHiroshima UniversityHiroshimaJapan

Personalised recommendations