English

Vilkovisky-DeWitt Effective Action for Einstein Gravity on Kaluza-Klein Spacetimes $M^4\times S^N$

High Energy Physics - Theory 2009-10-31 v2

Abstract

We evaluate the divergent part of the Vilkovisky-DeWitt effective action for Einstein gravity on even-dimensional Kaluza-Klein spacetimes of the form M4×SNM^{4}\times S^{N}. Explicit results are given for NN=2, 4, and 6. Trace anomalies for gravitons are also given for these cases. Stable Kaluza-Klein configurations are sought, unsuccessfully, assuming the divergent part of the effective action dominates the dynamics.

Keywords

Cite

@article{arxiv.hep-th/0004082,
  title  = {Vilkovisky-DeWitt Effective Action for Einstein Gravity on Kaluza-Klein Spacetimes $M^4\times S^N$},
  author = {H. T. Cho and R. Kantowski},
  journal= {arXiv preprint arXiv:hep-th/0004082},
  year   = {2009}
}

Comments

37 pages, no figures