从GLC到双零坐标和静态黑洞的图解
From GLC to double-null coordinates and illustration with static black holes
摘要：
我们提出了一个直接从所谓的测地线光锥（GLC）坐标导出的坐标系，该坐标系由两个零标量在二维球体上相交组成，该球体由沿测地线的两个恒定角度参数化。这些坐标被证明是等同于众所周知的双零坐标。作为GLC，它们为宇宙学和天体物理学提供了有趣的特性。我们讨论静态黑洞的后一个主题，显示简单的描述的度量或粒子和光子的轨迹。我们还简要地评论了超相对论粒子的飞行时间。
英文摘要：
We present a system of coordinates deriving directly from the so-called Geodesic Light-Cone (GLC) coordinates and made of two null scalars intersecting on a 2-dimensional sphere parameterized by two constant angles along geodesics. These coordinates are shown to be equivalent to the well-known double-null coordinates. As GLC, they present interesting properties for cosmology and astrophysics. We discuss this latter topic for static black holes, showing simple descriptions for the metric or particles and photons trajectories. We also briefly comment on the time of flight of ultra-relativistic particles.
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