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arXiv 0801.3507hep-th
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超引力的动力学解

Dynamical solution of supergravity

Pierre Binetruy, Misao Sasaki, Kunihito Uzawa

摘要:

给出了10维IIA型超引力中相交D4-D8膜系统的一类动力学解。在一定的时空区域内,动力学解可化为一个静态的扭曲的AdS_6 × S^4几何。我们还考虑了一般p膜系统的翘曲紧化的低维有效理论。研究发现,由于度量分量中横坐标和(p+1)维坐标的纠缠,一般情况下不可能给出有效的(p +1)维描述.然后我们讨论宇宙学的解决方案。我们发现在$τ\to\infty$处的解表现得像Kasner型宇宙学解,而在$τ\to0$处的解则退化为扭曲的静态解,其中$τ$是宇宙时间。

英文摘要:

We present a class of dynamical solutions for an intersecting D4-D8 brane system in ten-dimensional type IIA supergravity. The dynamical solutions reduces to a static warped AdS_6 x S^4 geometry in a certain spacetime region. We also consider lower-dimensional effective theories for the warped compactification of general p-brane system. It is found that an effective (p+1)-dimensional description is not possible in general due to the entanglement of the transverse coordinates and the (p+1)-dimensional coordinates in the metric components. Then we discuss cosmological solutions. We find a solution that behaves like a Kasner-type cosmological solution at $τ\to\infty$, while it reduces to a warped static solution at $τ\to0$, where $τ$ is the cosmic time.

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