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arXiv 0901.2568hep-thastro-ph.COgr-qchep-ph
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dS $_4 \times Y_6$空间上的简单宇宙学de Sitter解

Simple cosmological de Sitter solutions on dS$_4 \times Y_6$ spaces

Ishwaree P. Neupane

摘要:

在六维翘曲空间上,我们得到了10维真空爱因斯坦方程的显式含时解。我们明确地给出了一个例子,其中内部流形是具有正、负或零标量曲率的六维广义空间,其基可以是五球$S^5$或Einstein空间$T^{1,1}=(S^2\times S^2)\rtimes S^1$。本文仅通过求解10维真空爱因斯坦方程组就得到了暴胀de Sitter解。我们的研究结果进一步表明,迄今为止研究的翘曲模型的局限性部分来自于对10维度量模型的过度简化。我们还给出了deSitter空间dS $_4$上的非奇异翘曲紧化的一些具体例子。

英文摘要:

Explicit time-dependent solutions of the 10D vacuum Einstein equations are found for which spacetime is compactified on six-dimensional warped spaces. We explicitly work out an example where the internal manifold is a six-dimensional generalized space having positive, negative or zero scalar curvature, whose base can be a five-sphere $S^5$ or an Einstein space $T^{1,1}=(S^2\times S^2)\rtimes S^1$. In this paper, inflationary de Sitter solutions are found just by solving the 10D vacuum Einstein equations. Our results further show that the limitation with warped models studied to date has arisen partly from an oversimplification of the 10D metric ansatz. We also give some explicit examples of a non-singular warped compactification on de Sitter space dS$_4$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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