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Light-Cone Coordinate System in General Relativity

Light-Cone Coordinate System in General Relativity
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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.
作者 Yingqiu Gu Yingqiu Gu(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)
关键词 LIGHT-CONE Null Gradient Field Coordinate Transformation GEODESIC Einstein’s Field Equation Light-Cone Null Gradient Field Coordinate Transformation Geodesic Einstein’s Field Equation
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