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arXiv 2206.04366gr-qcmath.AP
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空间无穷远附近的Maxwell-标量场系统

The Maxwell-scalar field system near spatial infinity

Marica Minucci, Rodrigo Panosso Macedo, Juan Antonio Valiente Kroon

摘要:

利用Friedrich空间无穷远表示研究了Maxwell-标量场系统在空间无穷远附近的渐近展开。本分析的主要目的是了解该系统的非线性的影响,在零无穷大的解决方案和多齐次扩展的规律性,特别是在临界集零无穷大接触空间无穷大。从我们的分析的主要结果是,非线性相互作用,使两个领域更奇异的共形边界时,所看到的比什么是非相互作用的领域。特别是,我们发现了一个全新的类对数项的渐近展开依赖于耦合常数之间的麦克斯韦和标量场。我们分析这些结果的剥离(或更确切地说,缺乏)的领域在零无穷大的影响。

英文摘要:

We make use of Friedrich's representation of spatial infinity to study asymptotic expansions of the Maxwell-scalar field system near spatial infinity. The main objective of this analysis is to understand the effects of the non-linearities of this system on the regularity of solutions and polyhomogeneous expansions at null infinity and, in particular, at the critical sets where null infinity touches spatial infinity. The main outcome from our analysis is that the nonlinear interaction makes both fields more singular at the conformal boundary than what is seen when the fields are non-interacting. In particular, we find a whole new class of logarithmic terms in the asymptotic expansions which depend on the coupling constant between the Maxwell and scalar fields. We analyse the implications of these results on the peeling (or rather lack thereof) of the fields at null infinity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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