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arXiv 0904.3115hep-th
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de Sitter空间的动力紧化

Dynamical compactification from de Sitter space

Sean M. Carroll, Matthew C. Johnson, Lisa Randall

摘要:

我们表明,D维德西特空间是不稳定的非奇异几何的核包含时空区域具有不同数量的宏观尺寸,导致一个动力学机制的紧致化。在全D维几何中q维球对称的假设下,通过降维构造了具有通量和宇宙学常数的爱因斯坦引力的这些和其它解.除了熟悉的黑洞,黑膜,紧化解决方案,我们确定了一些新的几何形状,其中一些是完全非奇异的。动态紧化机制填充低维真空与虚假真空永恒膨胀非常不同,后者完全发生在四维环境中。我们概述了成核率的现象,发现真空的维数起着关键作用,在相同维数的真空中,对于较小的宇宙学常数值,成核率最高。我们考虑了宇宙学常数问题,并提出了一个新的慢卷暴胀模型,该模型是由紧化过程触发的。

英文摘要:

We show that D-dimensional de Sitter space is unstable to the nucleation of non-singular geometries containing spacetime regions with different numbers of macroscopic dimensions, leading to a dynamical mechanism of compactification. These and other solutions to Einstein gravity with flux and a cosmological constant are constructed by performing a dimensional reduction under the assumption of q-dimensional spherical symmetry in the full D-dimensional geometry. In addition to the familiar black holes, black branes, and compactification solutions we identify a number of new geometries, some of which are completely non-singular. The dynamical compactification mechanism populates lower-dimensional vacua very differently from false vacuum eternal inflation, which occurs entirely within the context of four-dimensions. We outline the phenomenology of the nucleation rates, finding that the dimensionality of the vacuum plays a key role and that among vacua of the same dimensionality, the rate is highest for smaller values of the cosmological constant. We consider the cosmological constant problem and propose a novel model of slow-roll inflation that is triggered by the compactification process.

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