Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk
高能物理 - 理论
2014-11-18 v2 广义相对论与量子宇宙学
摘要
In Einstein gravity there is a simple procedure to build D-dimensional spacetimes starting from (D-1)-dimensional ones, by stacking any (D-1)-dimensional Ricci-flat metric into the extra-dimension. We analyze this procedure in the context of Einstein-Gauss-Bonnet gravity, and find that it can only be applied to metrics with a constant Krestschmann scalar. For instance, we show that solutions of the black-string type are not allowed in this framework.
引用
@article{arxiv.hep-th/0211013,
title = {Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk},
author = {Carlos Barcelo and Roy Maartens and Carlos F. Sopuerta and Fermin Viniegra},
journal= {arXiv preprint arXiv:hep-th/0211013},
year = {2014}
}
备注
8 pages, no figures; some references added and other minor modifications to match the PRD accepted version