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Numerical investigations of the asymptotics of solutions to the evolutionary form of the constraints
Classical and Quantum Gravity ( IF 3.5 ) Pub Date : 2020-07-17 , DOI: 10.1088/1361-6382/ab8fce
Kroly Csuks 1 , Istvn Rcz 1, 2
Affiliation  

Systematic numerical investigations of the asymptotics of near Schwarzschild vacuum initial data sets is carried out by inspecting solutions to the parabolic-hyperbolic and to the algebraic-hyperbolic forms of the constraints, respectively. One of our most important findings is that the concept of near Schwarzschild configurations, applied previously in [4, 5], is far too restrictive. It is demonstrated that by relaxing the conditions on the freely specifiable part of the data a more appropriate notion of near Schwarzschild initial data configurations can be defined which allows us to generate asymptotically flat initial data configurations.

中文翻译:

约束演化形式解的渐近性数值研究

近 Schwarzschild 真空初始数据集的渐近性的系统数值研究是通过分别检查约束的抛物线-双曲线和代数-双曲线形式的解来进行的。我们最重要的发现之一是,之前在 [4, 5] 中应用的近施瓦西配置的概念过于严格。结果表明,通过放宽数据的可自由指定部分的条件,可以定义更合适的近 Schwarzschild 初始数据配置的概念,这允许我们生成渐近平坦的初始数据配置。
更新日期:2020-07-17
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