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单词 Kerr Solution
释义

Kerr Solution

中文百科

克尔度规 Kerr metric

(重定向自Kerr Solution)

广义相对论中,克尔度规英语:Kerr metric)或称克尔真空英语:Kerr vacuum),描述的一旋转、球对称之质量庞大物体(例如:黑洞)周遭真空区域的时空几何。其为广义相对论的精确解,故又称克尔解;广义相对论的主导方程序——爱因斯坦场方程序是非线性的,找出其精确解是相当困难的任务。

克尔度规是史瓦西度规(1915年)的推广,后者用以描述静态不旋转、球对称且不带电荷的庞大物体周遭真空区域的时空几何。在有带电荷的情形,史瓦西度规转成莱斯纳-诺德斯特洛姆度规(1916年–1918年)。约瑟夫·冷泽汉斯·提尔苓曾使用弱场近似方法得到过旋转轴对称球状物体度规的近似解。直到1963年方由罗伊·克尔提出精确解。,但他并没有给出推导过程。1973年Schiffer等人给出了克尔度规的推导。

英语百科

Kerr metric 克尔度规

(重定向自Kerr Solution)
The two surfaces on which the Kerr metric appears to have singularities; the inner surface is the spherical event horizon, whereas the outer surface is an oblate spheroid. The ergosphere lies between these two surfaces; within this volume, the purely temporal component gtt is negative, i.e., acts like a purely spatial metric component. Consequently, particles within this ergosphere must co-rotate with the inner mass, if they are to retain their time-like character.
The trajectory of a test mass around a spinning (Kerr) black hole. Unlike orbits around a Schwarzschild black hole, the orbit is not confined to a single plane, but will ergodically fill a toruslike region around the equator.

The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially-symmetric black hole with a spherical event horizon. The Kerr metric is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions very difficult to find. The Kerr metric is a generalization of the Schwarzschild metric, which was discovered by Karl Schwarzschild in 1915 and which describes the geometry of spacetime around an uncharged, spherically-symmetric, and non-rotating body. The corresponding solution for a charged, spherical, non-rotating body, the Reissner–Nordström metric, was discovered soon afterwards (1916–1918). However, the exact solution for an uncharged, rotating black-hole, the Kerr metric, remained unsolved until 1963, when it was discovered by Roy Kerr. The natural extension to a charged, rotating black-hole, the Kerr–Newman metric, was discovered shortly thereafter in 1965. These four related solutions may be summarized by the following table:

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更新时间:2025/6/21 6:38:47