We evaluate the divergent part of the Vilkovisky-DeWitt effective action for Einstein gravity on even-dimensional Kaluza-Klein spacetimes of the form M4×SN. Explicit results are given for N=2, 4, and 6. Trace anomalies for gravitons are also given for these cases. Stable Kaluza-Klein configurations are sought, unsuccessfully, assuming that the divergent part of the effective action dominates the dynamics.
Physical Review D (Particles and Fields) 62(12), 124003(19 pages)