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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 Synchronous frame ： ウィキペディア英語版 Synchronous frame == Proper time in general relativity == In the special theory of relativity, choice of coordinates is limited by the requirement for a special kind of spacetime metric: the Minkowski metric. In the general theory of relativity, there is no such requirement so that the choice of reference frame is not limited: the three space coordinates ''x''1, ''x''2, ''x''3 can take any values that define the positions of bodies in space while the time coordinate ''x''0 can be measured by clocks with any possible adjustment. The problem thus arises how one can determine the real distances and time intervals by the values of ''x''0, ''x''1, ''x''2, ''x''3. First one must determine the true time (''proper time''), written by the symbol τ, with a coordinate ''x''0. Consider two very close events that occur practically in the same point of space. The interval ''ds'' between these two events is ''cd''τ where ''d''τ is the proper time interval that separates them. Substituting ''x''1 = ''x''2 = ''x''3 = 0 (making all space coordinates equal to zero) in the general expression for the metric ''ds''2 = ''gik dxi dxk'', one obtains : $ds^2\; =\; c^2\; d\backslash tau^2\; =\; g\_\; \backslash left\; (\; dx^0\; \backslash right\; )^2,\backslash ,$ so that \,dx^0,|}} or, for the time between any two events in the same point of space \,dx^0.|}} The relationship defines the proper time between events in the same place through changes in the time coordinate ''x''0. Note that, according to the above formulae, ''g''00 is positive: One must make a difference between the condition and the condition made when choosing the signature (the signs of the principal values of the ''gik'' tensor). A ''gik'' tensor that does not satisfy the signature condition does not correspond to any real gravitational field, that is, to any real spacetime metric. If ''gik'' does not satisfy the condition , it means only that the respective reference frame cannot be defined by real bodies; if the signature condition is fulfilled then by a proper coordinate transformation one can make ''g''00 positive (an example of such frame is the rotating reference frame). 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「Synchronous frame」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.