Light-Cone Coordinate System in General Relativity  

作　　者：Yingqiu Gu Yingqiu Gu(School of Mathematical Science, Fudan University, Shanghai, China)

机构地区：[1]School of Mathematical Science, Fudan University, Shanghai, China

出　　处：《Journal of High Energy Physics, Gravitation and Cosmology》2022年第2期269-284,共16页高能物理（英文）

摘　　要：If there exists a null gradient field in 3 + 1 dimensional space-time, we can set up a kind of light-cone coordinate system in the space-time. In such coordinate system, the metric takes a simple form, which is helpful for simplifying and solving the Einstein’s field equation. This light-cone coordinate system has wonderful properties and has been used widely in astrophysics to calculate parameters. We discuss the structure of space-time with light-cone coordinate system in detail. We show how to construct the light-cone coordinate system and obtain the conditions of its existence, and then explain their geometrical and physical meanings.If there exists a null gradient field in 3 + 1 dimensional space-time, we can set up a kind of light-cone coordinate system in the space-time. In such coordinate system, the metric takes a simple form, which is helpful for simplifying and solving the Einstein’s field equation. This light-cone coordinate system has wonderful properties and has been used widely in astrophysics to calculate parameters. We discuss the structure of space-time with light-cone coordinate system in detail. We show how to construct the light-cone coordinate system and obtain the conditions of its existence, and then explain their geometrical and physical meanings.

关 键 词：LIGHT-CONE Null Gradient Field Coordinate Transformation GEODESIC Einstein’s Field Equation 

分 类 号：O57[理学—粒子物理与原子核物理]