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Fanizza, G. and Nugier, F. (2015) Lensing in the Geodesic Light-Cone Coordinates and Its (Exact) Illustration to an Off-Center Observer in Lemaitre-Tolman-Bondi Models. JCAP, 1502, 2.
https://doi.org/10.1088/1475-7516/2015/02/002

has been cited by the following article:

• TITLE: Light-Cone Coordinate System in General Relativity

  AUTHORS: Yingqiu Gu

  KEYWORDS: Light-Cone, Null Gradient Field, Coordinate Transformation, Geodesic, Einstein’s Field Equation

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.8 No.2, March 16, 2022

  ABSTRACT: 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.