开放时空的全局稳定性

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

Annales Henri Poincaré Pub Date : 2024-09-21 DOI:10.1007/s00023-024-01491-6

Jinhua Wang, Wei Yuan

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引用次数: 0

摘要

开放的米尔恩宇宙学时空具有与（非紧化）双曲空间等距的三维柯西曲面。我们证明了有质量和无质量爱因斯坦标量场方程的开放米尔恩时空的全局非线性稳定性，并表明随着时间趋于无穷，空间度规趋向于双曲度规。这个证明是基于高斯正态坐标的，在高斯正态坐标中，引力的衰减率是由米尔恩时空的扩展几何决定的。

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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Global Stability of the Open Milne Spacetime

The open Milne cosmological spacetime has a 3-dimensional Cauchy surface isometric to the (non-compact) hyperbolic space. We prove the globally nonlinear stability of the open Milne spacetime for both massive and massless Einstein-scalar field equations and show that as time goes to infinity, the spatial metric tends to the hyperbolic metric. The proof is based on the Gaussian normal coordinates, in which the decay rates of gravity are determined by the expanding geometry of Milne spacetime.

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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.