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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 ADM mass ： ウィキペディア英語版 ADM formalism The ADM formalism, named for its authors Richard Arnowitt, Stanley Deser and Charles W. Misner, is a Hamiltonian formulation of general relativity that plays an important role in quantum gravity and numerical relativity. It was first published in 1959. The comprehensive review of the formalism that the authors published in 1962〔Chapter 7 (pp. 227–265) of Louis Witten (ed.), ''Gravitation: An introduction to current research'', Wiley: New York, 1962.〕 has been reprinted in the journal ''General Relativity and Gravitation'', while the original papers can be found in the archives of ''Physical Review''.〔 ==Overview== The formalism supposes that spacetime is foliated into a family of spacelike surfaces $\backslash Sigma\_t$, labeled by their time coordinate $t$, and with coordinates on each slice given by $x^i$. The dynamic variables of this theory are taken to be the metric tensor of three dimensional spatial slices $\backslash gamma\_(t,x^k)$ and their conjugate momenta $\backslash pi^(t,x^k)$. Using these variables it is possible to define a Hamiltonian, and thereby write the equations of motion for general relativity in the form of Hamilton's equations. In addition to the twelve variables $\backslash gamma\_$ and $\backslash pi^$, there are four Lagrange multipliers: the lapse function, $N$, and components of shift vector field, $N\_i$. These describe how each of the "leaves" $\backslash Sigma\_t$ of the foliation of spacetime are welded together. The equations of motion for these variables can be freely specified; this freedom corresponds to the freedom to specify how to lay out the coordinate system in space and time. 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「ADM formalism」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.