A conformal approach for the analysis of the non-linear stability of radiation cosmologies
A conformal approach for the analysis of the non-linear stability of radiation cosmologies
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DOI：
10.1016/j.aop.2012.10.011
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发表时间：
2013-01-01
影响因子：
3
通讯作者：
Kroon, Juan-Antonio Valiente
中科院分区：
文献类型：
--
作者：
Luebbe, Christian;Kroon, Juan-Antonio Valiente
利用共形重标度度规的Levi-Civita联络导出了无迹（辐射）理想流体的共形爱因斯坦方程。这些方程被用来提供一个非线性稳定性的结果deSitter类无痕迹（辐射）完美流体Friedman-Lemaitre-Robertson-Walker宇宙学模型。这样得到的解是面向未来全局存在的，并且是未来测地线完备的。(c)2012 Elsevier Inc. All rights reserved.
The conformal Einstein equations for a trace-free (radiation) perfect fluid are derived in terms of the Levi-Civita connection of a conformally rescaled metric. These equations are used to provide a non-linear stability result for de Sitter-like trace-free (radiation) perfect fluid Friedman-Lemaitre-Robertson-Walker cosmological models. The solutions thus obtained exist globally towards the future and are future geodesically complete. (c) 2012 Elsevier Inc. All rights reserved.