论文标题
三维重力和全息流体的仪表
Gauges in Three-Dimensional Gravity and Holographic Fluids
论文作者
论文摘要
在三个维度上，爱因斯坦真空方程的解决方案在局部最大对称。他们的全球性能与众不同，调查通常需要选择规格。尽管对这类分析进行了丰富的分析，但仍然存在一些相关问题。这些问题包括标准的邦迪量规与Eddington-finkelstein类型的相互作用，用于这些空间的流体/重力全息重建，以及Fefferman-Graham Grage，即在抗De de Sitter中可用时。本工作的目的是为可用的描述建立一个详尽的词典，重点是相对论或卡罗利亚全息流体，该液体描绘了反DE的自在或平坦实例中的边界的散装。在此处解决的情况伴随着对代数的初步研究，对残余差异性的完整呈现。
Solutions to Einstein's vacuum equations in three dimensions are locally maximally symmetric. They are distinguished by their global properties and their investigation often requires a choice of gauge. Although analyses of this sort have been performed abundantly, several relevant questions remain. These questions include the interplay between the standard Bondi gauge and the Eddington--Finkelstein type of gauge used in the fluid/gravity holographic reconstruction of these spacetimes, as well as the Fefferman--Graham gauge, when available i.e. in anti de Sitter. The goal of the present work is to set up a thorough dictionary for the available descriptions with emphasis on the relativistic or Carrollian holographic fluids, which portray the bulk from the boundary in anti-de Sitter or flat instances. A complete presentation of residual diffeomorphisms with a preliminary study of their algebra accompanies the situations addressed here.
