重力自作用力的双曲面切片和谱方法

IF 2.8 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Benjamin Leather
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引用次数: 0

摘要

我们提出了一种计算洛伦兹规范中引力自力(GSF)的新方法,采用双曲面切片和谱方法。我们的方法建立在先前的工作基础上,该工作将双曲面和光谱方法应用于标量场玩具模型[物理学]。Rev. D 105, 104033(2022)],将它们扩展到处理引力扰动。聚焦于一阶度量摄动,我们讨论了双曲叶理的构造,详细说明了最小规范的选择。采用洛伦兹规范是为了方便易于理解的正则化程序,这对于获得物理上有意义的GSF结果是必不可少的。我们通过Regge-Wheeler规范的(已知的)规范变换,计算了在史瓦西背景下准圆轨道上次级粒子的洛伦兹规范度量摄动。我们的方法产生了一个强大的框架,用于获得计算关键物理量所需的度量摄动分量,如辐射通量、德维勒红移和自力校正。此外,紧化双曲方法使我们能够有效地计算整个时空的度规摄动。因此,这项工作建立了一个基础的方法,为未来的二阶GSF计算在这个量规内,通过谱方法提供计算效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Gravitational self-force with hyperboloidal slicing and spectral methods

We present a novel approach for calculating the gravitational self-force (GSF) in the Lorenz gauge, employing hyperboloidal slicing and spectral methods. Our method builds on the previous work that applied hyperboloidal surfaces and spectral approaches to a scalar-field toy model [Phys. Rev. D 105, 104033 (2022)], extending them to handle gravitational perturbations. Focusing on first-order metric perturbations, we address the construction of the hyperboloidal foliation, detailing the minimal gauge choice. The Lorenz gauge is adopted to facilitate well-understood regularisation procedures, which are essential for obtaining physically meaningful GSF results. We calculate the Lorenz gauge metric perturbation for a secondary on a quasicircular orbit in a Schwarzschild background via a (known) gauge transformation from the Regge-Wheeler gauge. Our approach yields a robust framework for obtaining the metric perturbation components needed to calculate key physical quantities, such as radiative fluxes, the Detweiler redshift, and self-force corrections. Furthermore, the compactified hyperboloidal approach allows us to efficiently calculate the metric perturbation throughout the entire spacetime. This work thus establishes a foundational methodology for future second-order GSF calculations within this gauge, offering computational efficiencies through spectral methods.

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来源期刊
General Relativity and Gravitation
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.
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