Dilaton gravity on the brane
Dilaton gravity on the brane
复制标题
膜上的膨胀引力
DOI：
10.1103/physrevd.62.124009
复制
发表时间：
2000
影响因子：
5
通讯作者：
D. Wands
中科院分区：
文献类型：
--
作者：
K. Maeda;D. Wands
在爱因斯坦引力和自相互作用标量场的作用下，导出了五维体中三维膜世界体积上的诱导度规场和标量场的四维场方程。我们计算了任意形式的膜张力和体标量场的自相互作用势的四维有效引力常数和宇宙常数。除了标量场和膜上普通物质的正则能量-动量张量外，有效的四维爱因斯坦方程还包括标量场和体中引力波的项。我们提出的解决方案，对应于静态闵可夫斯基膜世界和动态弗里德曼-罗伯逊-步行者膜世界宇宙学。我们讨论标量场与膜上普通物质的感应耦合。
We derive the four-dimensional field equations for the induced metric and scalar field on the world-volume of a 3-brane in a five-dimensional bulk with Einstein gravity plus a self-interacting scalar field. We calculate the effective four-dimensional gravitational constant and cosmological constant for arbitrary forms of the brane tension and self-interaction potential for the scalar field in the bulk. In addition to the canonical energy-momentum tensor for the scalar field and ordinary matter on the brane, the effective four-dimensional Einstein equations include terms due to the scalar field and gravitational waves in the bulk. We present solutions corresponding to static Minkowski brane worlds and also dynamical Friedmann-Robertson-Walker brane world cosmologies. We discuss the induced coupling of the scalar field to ordinary matter on the brane.