On the vacuum Einstein equations along curves with a discrete local rotation and reflection symmetry
On the vacuum Einstein equations along curves with a discrete local rotation and reflection symmetry
复制标题
沿具有离散局部旋转和反射对称性的曲线的真空爱因斯坦方程
DOI：
10.1088/1475-7516/2015/08/025
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发表时间：
2015
影响因子：
6.4
通讯作者：
E. Bentivegna
中科院分区：
文献类型：
--
作者：
Mikolaj Korzy'nski;I. Hinder;E. Bentivegna
本文讨论了S3黑洞晶格中爱因斯坦方程降维的可能性。以往的文献报道，包含局部离散旋转和反射对称（LDRRS）曲线的空间的演化可以通过沿这些曲线的沿着常微分方程系统来实现。然而，3+1数值相对论计算表明，这是不是这样的，我们分析表明，这是由于存在的张量，这是不抑制的对称性。我们计算的长期分析，并验证数值为8黑洞晶格，它完全占异常的结果，从而量化其大小在这种特定情况下。这一项的存在阻止了这些空间通过以前报道的方法的精确演化，这些方法不涉及爱因斯坦方程的完整3+1积分。
We discuss the possibility of a dimensional reduction of the Einstein equations in S3 black-hole lattices. It was reported in previous literature that the evolution of spaces containing curves of local, discrete rotation and reflection symmetry (LDRRS) can be carried out via a system of ODEs along these curves. However, 3+1 Numerical Relativity computations demonstrate that this is not the case, and we show analytically that this is due to the presence of a tensorial quantity which is not suppressed by the symmetry. We calculate the term analytically, and verify numerically for an 8-black-hole lattice that it fully accounts for the anomalous results, and thus quantify its magnitude in this specific case. The presence of this term prevents the exact evolution of these spaces via previously-reported methods which do not involve a full 3+1 integration of Einstein's equation.
影响因子：
3.5
作者：
T. Clifton;D. Gregoris;K. Rosquist
通讯作者：
T. Clifton;D. Gregoris;K. Rosquist
宇宙学中的图像方法
影响因子：
3.5
作者：
Clifton T
通讯作者：
Clifton T