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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bonnor beam ： ウィキペディア英語版 Bonnor beam In general relativity, the Bonnor beam is an exact solution which models an infinitely long, straight beam of light. It is an explicit example of a pp-wave spacetime. It is named after William B. Bonnor who first described it. The Bonnor beam is obtained by matching together two regions: * a uniform plane wave interior region, which is shaped like the world tube of a solid cylinder, and models the electromagnetic and gravitational fields inside the beam, * a vacuum exterior region, which models the gravitational field outside the beam. On the "cylinder" where they meet, the two regions are required to obey matching conditions stating that the metric tensor and extrinsic curvature tensor must agree. The interior part of the solution is defined by :$ds^2\; =$ -8 \pi m r^2 \, du^2 - 2 \, du \, dv + dr^2 + r^2 \, d\theta^2, : This is a null dust solution and can be interpreted as incoherent electromagnetic radiation. The exterior part of the solution is defined by :$ds^2\; =\; -8\; \backslash pi\; m\; r\_0^2\; \backslash left(\; 1\; +\; 2\; \backslash log(r/r\_0)\; \backslash right)\; \backslash ,\; du^2$ - 2 \, du \, dv + dr^2 + r^2 \, d\theta^2 : The Bonnor beam can be generalized to several parallel beams traveling in the same direction. Perhaps surprisingly, the beams do not curve toward one another. On the other hand, "anti-parallel" beams (traveling along parallel trajectories, but in opposite directions) ''do'' attract each other. This reflects a general phenomenon: two pp-waves with parallel wave vectors superimpose linearly, but pp-waves with nonparallel wave vectors (including antiparallel Bonnor beams) do ''not'' superimpose linearly, as we would expect from the nonlinear nature of the Einstein field equation. ==References== * . See also * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bonnor beam」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.