标题： 广义规范下的剥皮 显示英文标题

标题： Peeling in Generalized Harmonic Gauge

摘要： 显示了一类基于良好-糟糕-丑陋模型的非线性波动方程系统，它们在零无穷远处具有多项齐次展开的正式解。引入了一组特定的变量，使我们能够将爱因斯坦场方程写成广义调和规范下的良好-糟糕-丑陋系统，并通过应用上述结果找到了这种展开中前几阶的函数形式。利用度规分量的这些形式展开，重新研究了威克尔张量的剥落性质。所讨论的问题是，仅使用广义调和规范是否会引发剥落性质的破坏。在调和规范下，发现了一些阻止威克尔张量剥落的对数项。然后考虑了规范源函数和约束添加对剥落性质的影响。最后，利用规范与约束添加之间的特殊相互作用及其对渐近系统和每个度规分量衰减的影响，找到一种特定的规范，该规范可以将这种特定类型的对数项抑制到任意高的阶数。 显示英文摘要

摘要： It is shown that a large class of systems of non-linear wave equations, based on the good-bad-ugly model, admit formal solutions with polyhomogeneous expansions near null infinity. A particular set of variables is introduced which allows us to write the Einstein field equations in generalized harmonic gauge as a good-bad-ugly system and the functional form of the first few orders in such an expansion is found by applying the aforementioned result. Exploiting these formal expansions of the metric components, the peeling property of the Weyl tensor is revisited. The question addressed is whether or not the use of generalized harmonic gauge, by itself, causes a violation of peeling. Working in harmonic gauge, it is found that log-terms that prevent the Weyl tensor from peeling do appear. The impact of gauge source functions and constraint additions on the peeling property is then considered. Finally, the special interplay between gauge and constraint addition, as well as its influence on the asymptotic system and the decay of each of the metric components, is exploited to find a particular gauge which suppresses this specific type of log-term to arbitrarily high order.