arXiv 0911.45832009-11gr-qchep-th

将暴胀与弦标脱钩

Decoupling Inflation From the String Scale

Brett McInnes

备注：: 24 pages, 5 eps figures, references added, stylistic changes, version to appear in Classical and Quantum Gravity
发表信息：: Class.Quant.Grav.27:165001,2010
DOI：: 10.1088/0264-9381/27/16/165001

摘要：

当暴胀被嵌入到一个基本理论中时，比如弦论，它通常在宇宙已经大大大于基本尺度（比如由弦长度尺度定义的尺度）时开始。这自然可以通过假设一个前暴胀时代来解释，在此期间，宇宙的大小从基本尺度增长到初始暴胀尺度。于是，问题就出现了：在整个这个时代中，如何保持（假定的）初始空间均匀性，以便当它结束时，暴胀能够以其势支配的状态开始。林德提出，具有紧凑负弯曲空间截面的时空可以通过混沌混合来实现这一点。然而，这种紧化将导致卡西米尔能量，这可能导致破坏目的的效果，除非与引力的耦合被抑制。我们估计了这个建议所需要的耦合值，并用它来表明，前暴胀时空是稳定的，尽管违反了卡西米尔能量所必需的能量条件。

英文摘要：

When Inflation is embedded in a fundamental theory, such as string theory, it typically begins when the Universe is already substantially larger than the fundamental scale [such as the one defined by the string length scale]. This is naturally explained by postulating a pre-inflationary era, during which the size of the Universe grew from the fundamental scale to the initial inflationary scale. The problem then arises of maintaining the [presumed] initial spatial homogeneity throughout this era, so that, when it terminates, Inflation is able to begin in its potential-dominated state. Linde has proposed that a spacetime with compact negatively curved spatial sections can achieve this, by means of chaotic mixing. Such a compactification will however lead to a Casimir energy, which can lead to effects that defeat the purpose unless the coupling to gravity is suppressed. We estimate the value of this coupling required by the proposal, and use it to show that the pre-inflationary spacetime is stable, despite the violation of the Null Energy Condition entailed by the Casimir energy.

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