2019/02/21 by Tim-Torben Paetz
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy distribution #Conformal map #Cylinder #Gauge (firearms) #Gauge theory #Gauss #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Infinity #Lorenz gauge condition #gr-qc
paper · pdf · doi:10.1063/1.5096487
38 pages
arxiv created 2019/02/21 · openalex created_date 2019/03/02 · openalex publication_date 2019/07/01 · arxiv updated 2019/07/24 · openalex updated_date 2026/08/06
A convenient approach to analyze spatial infinity is to use a cylinder representation I and impose a gauge based on a congruence of conformal geodesics. This so-called conformal Gauss gauge comes along with the freedom to specify initial data for the conformal geodesics. Such a gauge has been constructed from an ordinary Cauchy surface and from past null infinity I −, respectively. The purpose of this note is to compare these gauges near the critical set I−, where I “touches” I −, as it turns out that they are related in a somewhat unexpected intricate way.