Conformally related vacuum gravitational waves and their symmetries

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Q. L. Zhao, P. M. Zhang, P. A. Horváthy
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引用次数: 0

Abstract

A special conformal transformation which carries a vacuum gravitational wave into another vacuum one is built by using Möbius-redefined time. It can either transform a globally defined vacuum wave into a vacuum sandwich wave, or carry the gravitational wave into itself. The first type, illustrated by linearly and circularly polarised vacuum plane gravitational waves, permutes the symmetries and the geodesics. Our second type is a pp wave with conformal O(1, 2) symmetry. An example inspired by molecular physics which seems to have escaped attention so far is an anisotropic generalisation of the familiar inverse-square profile and is reminiscent of Aichelburg-Sexl ultraboosts. The particle can escape, or perform circular periodic motion, or fall into the singularity.

共形相关真空引力波及其对称性
利用莫比乌斯重新定义的时间建立了一种特殊的共形变换,它能将真空引力波带入另一个真空引力波。它既可以将全局定义的真空波转化为真空夹层波,也可以将引力波带入自身。第一种类型以线性和圆极化真空平面引力波为例,对对称性和大地线进行了排列。我们的第二种类型是具有共形 O(1,2)对称性的 pp 波。受分子物理学启发的一个例子似乎至今还未引起人们的注意,它是我们熟悉的反平方剖面的各向异性概括,让人联想到艾歇尔伯格-塞克斯尔超增量。粒子可以逃逸,或做圆周周期性运动,或落入奇点。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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