Stacking a 4D geometry into an Einstein-Gauss-Bonnet bulk -: art. no. 064023

被引：26

作者：

Barceló, C ^{[1
]}

Maartens, R ^{[1
]}

Sopuerta, CF ^{[1
]}

Viniegra, F ^{[1
]}

机构：

[1] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 2EG, Hants, England

来源：

PHYSICAL REVIEW D | 2003年 / 67卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.67.064023

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

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 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.

引用

页数：6

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