Scattering for the Equivariant U(1) Problem

IF 1.3 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-11-21 DOI:10.1007/s00023-024-01503-5

Nishanth Gudapati

引用次数: 0

Abstract

Extending our previous works on the Cauchy problem for the \(2+1\) equivariant Einstein-wave map system, we prove that the linear part dominates the nonlinear part of the wave maps equation coupled to the full set of the Einstein equations, for small data. A key ingredient in the proof is a nonlinear Morawetz estimate for the fully coupled equivariant Einstein-wave maps. The \(2+1\)-dimensional Einstein-wave map system occurs naturally in the \(3+1\) vacuum Einstein equations of general relativity.

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等变U(1)问题的散射

推广我们先前关于\(2+1\)等变爱因斯坦-波映射系统的柯西问题的工作，我们证明了对于小数据，耦合到爱因斯坦方程组的波映射方程的线性部分支配非线性部分。证明中的一个关键因素是对完全耦合等变爱因斯坦波映射的非线性Morawetz估计。\(2+1\)维爱因斯坦波映射系统自然地出现在广义相对论的\(3+1\)真空爱因斯坦方程中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.