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单词 Kruskal Coordinates
释义

Kruskal Coordinates

中文百科

克鲁斯卡尔坐标系 Kruskal–Szekeres coordinates

(重定向自Kruskal Coordinates)
图1——-Kruskal-坐标
图3——最大延伸的史瓦西解所包含的四个不同时空

克鲁斯卡尔坐标系(或称作克鲁斯卡尔-塞凯赖什坐标系,英文Kruskal coordinatesKruskal-Szekeres coordinates)是在史瓦西度规下创建的一种坐标系,名称来自于美国数学物理学家马丁·克鲁斯卡尔(Martin Kruskal)和匈牙利-澳大利亚数学家乔治·塞凯赖什。这种坐标系的优点在于它能够涵盖整个时空流形,使得奇点之外的所有点在坐标系中都存在定义,也就是说它能够将原有的在球坐标系下的史瓦西度规最大限度地推广到整个时空中。

英语百科

Kruskal–Szekeres coordinates 克鲁斯卡尔坐标系

(重定向自Kruskal Coordinates)
Kruskal–Szekeres diagram, illustrated for 2GM=1. The quadrants are the black hole interior (II), the white hole interior (IV) and the two exterior regions (I and III). The dotted 45° lines, which separate these four regions, are the event horizons. The darker hyperbolas which bound the top and bottom of the diagram are the physical singularities. The paler hyperbolas represent contours of the Schwarzschild r coordinate, and the straight lines through the origin represent contours of the Schwarzschild t coordinate.
Kruskal–Szekeres diagram. Each frame of the animation shows a blue hyperbola as the surface where the Schwarzschild radial coordinate is constant (and with a smaller value in each successive frame, until it ends at the singularities).
Kruskal-Diagramm. In der Animation unten repräsentiert jede blaue Hyperbel eine Position bei konstantem Radius. Der Ereignishorizont entspricht den eingezeichneten Diagonalen. Dort ist die Metrik nicht singulär. Die Hyperbeln verschwinden vielmehr erst an den Grenzen des schraffierten Bereichs. Dem schraffierten Bereich oben entspricht in den Schwarzschild-Koordinaten die gesamte Singularität eines sog.  Schwarzen Loches bei r=0.

In general relativity Kruskal–Szekeres coordinates, named after Martin Kruskal and George Szekeres, are a coordinate system for the Schwarzschild geometry for a black hole. These coordinates have the advantage that they cover the entire spacetime manifold of the maximally extended Schwarzschild solution and are well-behaved everywhere outside the physical singularity.

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更新时间:2025/6/18 12:04:57