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arXiv · hep-th/0211013

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

Carlos Barcelo·Roy Maartens·Carlos F. Sopuerta·Fermin Viniegra
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Abstract

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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Carlos Barcelo, Roy Maartens, Carlos F. Sopuerta, Fermin Viniegra. 2003-03-06. Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk. https://doi.org/10.1103/physrevd.67.064023

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