Chern-Simons引力理论中的四维膜引力
Brane gravity in 4D from Chern-Simons gravity theory
摘要：
我们在Einstein-Chern-Simons引力的拉格朗日量中计算了一个5维Randall Sundrum型度规，然后导出了一个作用量及其相应的场方程，对于嵌入在该理论的5维时空中的一个4维膜，在极限l-0下导出了具有宇宙学常数的4维广义相对论.给出了爱因斯坦-陈-西蒙斯引力作用量中h*a物质场的一种解释。作为应用，我们找到了一些Friedmann-Lemaitre-Robertson-Walker宇宙学解，它们表现出加速行为。
英文摘要：
We evaluate a 5-dimensional Randall Sundrum type metric in the Lagrangian of the Einstein-Chern-Simons gravity, and then we derive an action and its corresponding field equations, for a 4-dimensional brane embedded in the 5-dimensional space-time of the theory, which in the limit l--0 leads to the 4-dimensional general relativity with cosmological constant. An interpretation of the h*a matter field present in the Einstein-Chern-Simons gravity action is given. As an application, we find some Friedmann-Lemaitre-Robertson-Walker cosmological solutions that exhibit accelerated behavior.
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