Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk

Details Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk

2002-11-04

arxiv.org/abs/hep-th/0211013v2

Phys.Rev. D67 (2003) 064023

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures; some references added and other minor modifications to match the PRD accepted version

Scientific paper

10.1103/PhysRevD.67.064023

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.

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