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

Carlos Barcelo; Roy Maartens; C. Sopuerta; Fermin Viniegra

doi:10.1103/PhysRevD.67.064023

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

Carlos Barcelo, Roy Maartens, C. Sopuerta, Fermin Viniegra

Institute of Cosmology & Gravitation

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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 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

Original language	English
Journal	Physical Review D
Volume	67
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.67.064023
Publication status	Published - 2003

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title = "Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk",

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 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",

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AB - 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

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JO - Physical Review D

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

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