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arXiv 1407.5301hep-thgr-qc
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一般引力理论的AdS-plane波和PP波解

AdS-plane wave and pp-wave solutions of generic gravity theories

Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin

摘要:

我们构造的AdS-平面波解的一般引力理论建立在任意幂的黎曼张量及其衍生物的类比PP-波的解决方案。在构造一般理论的波解时,我们证明了由黎曼张量及其导数构造的最一般的二张量可以用无迹Ricci张量来表示。二次引力理论起着重要的作用,因此,我们重新审视在这个理论中的波动解。作为我们一般形式的例子,我们计算出六维共形引力和它的非共形变形,以及三临界引力,Lanczos-Lovelock理论,弦生成的三次曲率理论。

英文摘要:

We construct the AdS-plane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the pp-wave solutions. In constructing the wave solutions of the generic theory, we show that the most general two tensor built from the Riemann tensor and its derivatives can be written in terms of the traceless-Ricci tensor. Quadratic gravity theory plays a major role; therefore, we revisit the wave solutions in this theory. As examples to our general formalism, we work out the six-dimensional conformal gravity and its nonconformal deformation as well as the tricritical gravity, the Lanczos-Lovelock theory, and string-generated cubic curvature theory.

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