arXiv 0802.32142008-02hep-thastro-phgr-qc

氧化宇宙加速

Oxidised cosmic acceleration

Daniel H. Wesley

备注：: v2: corrections, references added
发表信息：: JCAP 0901:041,2009
DOI：: 10.1088/1475-7516/2009/01/041

摘要：

我们给出了几个新的不去定理构造平坦的四维加速宇宙从翘曲降维详细的证明。这些新的定理通过弱化能量条件，包括含时紧化，以及处理不完全是de Sitter的加速膨胀来改进以前的定理。我们表明，de Sitter展开违反了高维零能量条件（NEC），如果紧致流形M是一维的，如果它的内在Ricci标量R处处为零，或者如果R和翘曲函数满足一个简单的极限条件。如果膨胀不是de Sitter，我们建立阈值状态方程参数w，低于该参数，加速膨胀必须是瞬态的。在阈值W以下，存在关于展开的e折叠的数量的界限。如果M是一维的或R处处为零，超过这个界限意味着不符合NEC。如果R在M上不是处处为零，则超过该界限意味着违反了强能量条件（SEC）。从观测上看，w阈值表明，在w中具有有限分辨率的实验可以清楚地区分满足或违反相关能量条件的不同模型。

英文摘要：

We give detailed proofs of several new no-go theorems for constructing flat four-dimensional accelerating universes from warped dimensional reduction. These new theorems improve upon previous ones by weakening the energy conditions, by including time-dependent compactifications, and by treating accelerated expansion that is not precisely de Sitter. We show that de Sitter expansion violates the higher-dimensional null energy condition (NEC) if the compactification manifold M is one-dimensional, if its intrinsic Ricci scalar R vanishes everywhere, or if R and the warp function satisfy a simple limit condition. If expansion is not de Sitter, we establish threshold equation-of-state parameters w below which accelerated expansion must be transient. Below the threshold w there are bounds on the number of e-foldings of expansion. If M is one-dimensional or R everywhere vanishing, exceeding the bound implies the NEC is violated. If R does not vanish everywhere on M, exceeding the bound implies the strong energy condition (SEC) is violated. Observationally, the w thresholds indicate that experiments with finite resolution in w can cleanly discriminate between different models which satisfy or violate the relevant energy conditions.

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