逆闵可夫斯基时空中线性化共形爱因斯坦场方程的数值演化

IF 2.1 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2025-05-16 DOI:10.1007/s10714-025-03415-z

Christian Peterson, Edgar Gasperín, Alex Vañó-Viñuales

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引用次数: 0

摘要

在逆闵可夫斯基时空的几何背景下，研究了接近零无穷大的方程组的数值演化。演化方程对应于共形爱因斯坦场方程（CEFEs）的二阶度量公式的线性化。这些线性方程首次在b[1]中提出，本文的主要目的是通过数值演化来说明，通过规范源函数引入b[1]的线性化cefe的曲线固定技术。比较了球面对称和轴对称条件下固定规源和平凡规源函数的演化。

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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Numerical evolutions of the linearised conformal Einstein field equations in the inversion-Minkowski spacetime

Numerical evolutions of a system of equations close to null infinity in the geometric background of the inversion-Minkowski spacetime are performed. The evolved equations correspond to the linearisation of a second order metric formulation of the conformal Einstein field equations (CEFEs). These linear equations were first presented in [1] and the main purpose of this paper is to illustrate, through numerical evolutions, the scri-fixing technique via gauge source functions introduced [1] for the linearised CEFEs. A comparison of evolutions using scri-fixing gauge sources and trivial gauge source function in spherical and axial symmetry is presented.

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

期刊介绍： General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.