Phys. Rev. D 67, 064023 (2003) [6 pages]Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulkReceived 4 November 2002; published 28 March 2003 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 be applied only to metrics with a constant Krestschmann scalar. For instance, we show that solutions of the black-string type are not allowed in this framework. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.064023
DOI:
10.1103/PhysRevD.67.064023
PACS:
04.50.+h, 11.25.Db, 11.25.Mj
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