双曲面中的达朗贝尔解法

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

General Relativity and Gravitation Pub Date : 2024-07-08 DOI:10.1007/s10714-024-03272-2

Juan A. Valiente Kroon, Lidia J. Gomes Da Silva

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引用次数: 0

摘要

我们明确构建了 1+1 波方程在双曲面环境下的达朗贝尔解。反过来，我们利用这个双曲面达朗贝尔解来直观地了解波方程在双曲面对折中的解的行为，并解释文献中讨论的数值模拟中解的明显反常的永久位移。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The d’Alembert solution in hyperboloidal foliations

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The d’Alembert solution in hyperboloidal foliations

We explicitly construct the analogue of the d’Alembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal d’Alembert solution is used, in turn, to gain intuition into the behaviour of solutions to the wave equation in a hyperboloidal foliation and to explain an apparently anomalous permanent displacement of the solution in numerical simulations discussed in the literature.

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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.