The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
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DOI：
10.1007/s00039-018-0448-9
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发表时间：
2017-05
影响因子：
2.2
通讯作者：
I. Rodnianski;Yakov Shlapentokh-Rothman
中科院分区：
文献类型：
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作者：
I. Rodnianski;Yakov Shlapentokh-Rothman
我们发展了一个局域理论来构造所有时空维度上的奇异性时空，当奇异性被逼近时，奇异性时空变得渐近自相似。发展的技术还允许我们构造和分类精确的自相似解，这些解对应于Fefferman-Graham环境度规的形式渐近展开。
We develop a local theory for the construction of singular spacetimes in all spacetime dimensions which become asymptotically self-similar as the singularity is approached. The techniques developed also allow us to construct and classify exact self-similar solutions which correspond to the formal asymptotic expansions of Fefferman–Graham’s ambient metric.