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arXiv 1401.0954gr-qcmath-phmath.MP
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精确光滑Gowdy对称广义Taub-NUT解

An exact smooth Gowdy-symmetric generalized Taub-NUT solution

Florian Beyer, Jörg Hennig

摘要:

在最近的一篇论文(Beyer and Hennig,2012 [9])中,我们引入了一类非齐次宇宙学模型:光滑Gowdy对称广义Taub-NUT解。在这里,我们推导出一个三参数家庭的精确解,在这个类,其中包含两个参数的陶布解决方案作为一个特殊情况。我们还研究了这种解决方案的性质。特别是,我们表明,对于一个特殊的选择的参数,时空包含一个曲率奇点与方向的行为,可以被解释为一个“真正的尖峰”在类比先前已知的高迪对称解决方案与空间T3拓扑。对于其他参数选择,最大全局双曲区域是无奇异性的,但可能包含“假尖峰”。

英文摘要:

In a recent paper (Beyer and Hennig, 2012 [9]), we have introduced a class of inhomogeneous cosmological models: the smooth Gowdy-symmetric generalized Taub-NUT solutions. Here we derive a three-parametric family of exact solutions within this class, which contains the two-parametric Taub solution as a special case. We also study properties of this solution. In particular, we show that for a special choice of the parameters, the spacetime contains a curvature singularity with directional behaviour that can be interpreted as a "true spike" in analogy to previously known Gowdy symmetric solutions with spatial T3-topology. For other parameter choices, the maximal globally hyperbolic region is singularity-free, but may contain "false spikes".

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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