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.
ASJC Scopus subject areas
- Physics and Astronomy(all)