非时间对称初始数据集族和彭罗斯类能量不等式

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Journal of Mathematical Physics Pub Date : 2024-07-23 DOI:10.1063/5.0209344

Armando J. Cabrera Pacheco, Markus Wolff

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引用次数: 0

摘要

受 Rácz 于 2016 年提出的以演化形式求解约束方程的启发，我们提出了一个近似平坦的初始数据集系列，这些数据集在无穷远处 "近似球面对称"。在这个族中，我们得到了类似彭罗斯的能量估计，并确定了约束方程在球对称和全脐情况下的解的存在性。

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Families of non time-symmetric initial data sets and Penrose-like energy inequalities

Motivated by solving the constraint equations in the evolutionary form suggested by Rácz in 2016, we propose a family of asymptotically flat initial data sets which are “asymptotically spherically symmetric” at infinity. Within this family, we obtain Penrose-like energy estimates and establish the existence of solutions for the constraint equations in the spherical symmetric and totally umbilic cases.

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来源期刊

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

期刊介绍： Since 1960, the Journal of Mathematical Physics (JMP) has published some of the best papers from outstanding mathematicians and physicists. JMP was the first journal in the field of mathematical physics and publishes research that connects the application of mathematics to problems in physics, as well as illustrates the development of mathematical methods for such applications and for the formulation of physical theories. The Journal of Mathematical Physics (JMP) features content in all areas of mathematical physics. Specifically, the articles focus on areas of research that illustrate the application of mathematics to problems in physics, the development of mathematical methods for such applications, and for the formulation of physical theories. The mathematics featured in the articles are written so that theoretical physicists can understand them. JMP also publishes review articles on mathematical subjects relevant to physics as well as special issues that combine manuscripts on a topic of current interest to the mathematical physics community. JMP welcomes original research of the highest quality in all active areas of mathematical physics, including the following: Partial Differential Equations Representation Theory and Algebraic Methods Many Body and Condensed Matter Physics Quantum Mechanics - General and Nonrelativistic Quantum Information and Computation Relativistic Quantum Mechanics, Quantum Field Theory, Quantum Gravity, and String Theory General Relativity and Gravitation Dynamical Systems Classical Mechanics and Classical Fields Fluids Statistical Physics Methods of Mathematical Physics.