三维空间中爱因斯坦方程的考奇问题

IF 3.6 3区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Classical and Quantum Gravity Pub Date : 2025-04-10 DOI:10.1088/1361-6382/adc4b7

Piotr T Chruściel, Wan Cong, Théophile Quéau and Raphaela Wutte

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引用次数: 0

摘要

我们分析了具有负宇宙常数的二维广义相对论初始数据集在类空间曲面和特征曲面上解的存在性和性质。构造了一类新的真空类空间数据族，这些数据族在无穷远处的共形边界处由极点参数化。我们回顾了全局哈密顿电荷的概念，强调了在这个维度中出现的困难，无论是在类空间和特征设置中。一个或两个，取决于拓扑结构，以角动量，线性动量和质心的形式建立能量的下界。

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Cauchy problems for Einstein equations in three-dimensional spacetimes

We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characteristic surfaces. A new family of such vacuum spacelike data parameterised by poles at the conformal boundary at infinity is constructed. We review the notions of global Hamiltonian charges, emphasizing the difficulties arising in this dimension, both in a spacelike and characteristic setting. One or two, depending upon the topology, lower bounds for energy in terms of angular momentum, linear momentum, and center of mass are established.

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来源期刊

Classical and Quantum Gravity 物理-天文与天体物理

CiteScore

7.00

自引率

8.60%

发文量

301

审稿时长

2-4 weeks

期刊介绍： Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.