论文标题

来自爱因斯坦真空约束方程的修改的抛物线式纤维纤维配方的渐近真空原始数据集

Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations

论文作者

Beyer, Florian, Frauendiener, Jörg, Ritchie, Joshua

论文摘要

在本文中,我们继续对Rácz最初引入的爱因斯坦真空约束方程的进化制定进行早期研究。由这些作品的有力证据激励,表明所产生的真空初始数据集通常不是渐近平坦的,我们分析了通过分析和数值技术的结合来分析修饰配方的溶液的渐近学。我们得出的结论是,使用这种新公式生成的真空初始数据集通常渐近地平坦。

In this paper we continue earlier investigations of evolutionary formulations of the Einstein vacuum constraint equations originally introduced by Rácz. Motivated by the strong evidence from these works that the resulting vacuum initial data sets are generically not asymptotically flat we analyse the asymptotics of the solutions of a modified formulation by a combination of analytical and numerical techniques. We conclude that the vacuum initial data sets generated with this new formulation are generically asymptotically flat.

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