Soviet Physics Journal

, Volume 31, Issue 10, pp 826–829 | Cite as

Spontaneous compactification in A d-dimensional quantum gravity model

  • S. D. Odintsov
  • V. M. Shakhmatov
Physics of Elementary Particles and Field Theory


It is shown that in a d-dimensional quantum gravity model of special type, AdS4×Sd−4 compactification is allowed. When d=5, M4×S1 compactification is allowed. Here AdS4, is anti-de Sitter space, M4, is Minkowski space, and Sd−4 is a (d−4)-dimensional sphere. The Casimir energy is computed in the 5-dimensional quantum gravity model on the M4×S1 gravitational background, and in the d-dimensional (odd d) quantum gravity on the Md−1×S1 background.


Quantum Gravity Minkowski Space Gravity Model Casimir Energy Dimensional Sphere 
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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • S. D. Odintsov
    • 1
  • V. M. Shakhmatov
    • 1
  1. 1.Lenin Komsomol Pedagogical InstituteTomsk

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