带电荷的渐近平面扩展

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2019-03-21 DOI:10.4310/atmp.2019.v23.n8.a1

Aghil Alaee, Armando J. Cabrera Pacheco, Carla Cederbaum

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引用次数: 3

摘要

巴特尼克质量是准局部质量的一个概念，它非常难以计算。Mantoulidis和Schoen[2016]开发了一种新技术，以这种方式构造最小Bartnik数据的渐近平坦扩展，使这些扩展的ADM质量得到很好的控制，因此，他们能够计算满足稳定条件的最小球体的Bartnik质量。在这项工作中，我们为爱因斯坦-麦克斯韦方程的时间对称初始数据集开发了扩展和粘接工具，使我们能够为合适的带电最小巴特尼克数据计算带电巴尼克质量的特别概念的值。

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Asymptotically flat extensions with charge

The Bartnik mass is a notion of quasi-local mass which is remarkably difficult to compute. Mantoulidis and Schoen [2016] developed a novel technique to construct asymptotically flat extensions of minimal Bartnik data in such a way that the ADM mass of these extensions is well-controlled, and thus, they were able to compute the Bartnik mass for minimal spheres satisfying a stability condition. In this work, we develop extensions and gluing tools, a la Mantoulidis and Schoen, for time-symmetric initial data sets for the Einstein-Maxwell equations that allow us to compute the value of an ad-hoc notion of charged Barnik mass for suitable charged minimal Bartnik data.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.