Normal modes of Proca fields in AdS spacetime

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

General Relativity and Gravitation Pub Date : 2022-12-25 DOI:10.1007/s10714-022-03052-w

Tiago V. Fernandes, David Hilditch, José P. S. Lemos, Vítor Cardoso

引用次数: 1

Abstract

A normal mode analysis for Proca fields in the anti-de Sitter (AdS) spacetime is given. It is found that the equations for the Proca field can be decoupled analytically. This is performed by changing the basis of the vector spherical harmonics decomposition. The normal modes and the normal mode frequencies of the Proca equation in the AdS spacetime are then analytically determined. It is also shown that the Maxwell field can be recovered by taking the massless limit of the Proca field with care so that the nonphysical gauge modes are eliminated.

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AdS时空中Proca场的正常模式

给出了反德西特(AdS)时空中Proca场的正态分析。发现Proca场的方程可以解析解耦。这是通过改变矢量球谐波分解的基来实现的。然后解析确定了AdS时空中Proca方程的正模态和正模态频率。结果还表明，通过小心地取Proca场的无质量极限，可以恢复麦克斯韦场，从而消除非物理规范模。

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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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.