A new duality transformation for fourth-order gravity

被引：2
|
作者：
Schmidt, HJ
机构：
[1] University Potsdam, Institute for Mathematics, Cosmology Group, D-14415 Potsdam, PF 601553
来源：
GENERAL RELATIVITY AND GRAVITATION | 1997年 / 29卷 / 07期
关键词：
conformal relations in fourth-order gravity;
D O I：
10.1023/A:1018883216747
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We prove that for non-linear L = L(R), G = dL/dR not equal 0 the Lagrangians L and (L) over cap((R) over cap) with (L) over cap = 2R/G(3) - 3L/G(4), (g) over cap(ij) = G(2) g(ij) and (R) over cap = 3R/G(2) - 4L/G(3) give conformally equivalent fourth-order field equations being dual to each other. The proof represents a new application of the fact that the operator square - R/6 is conformally invariant.
引用
收藏
页码：859 / 867
页数：9
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