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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 Weyl notation ： ウィキペディア英語版 Weyl scalar In the Newman–Penrose (NP) formalism of general relativity, Weyl scalars refer to a set of five complex scalars $\backslash$ which encode the ten independent components of the Weyl tensors of a four-dimensional spacetime. ==Definitions== Given a complex null tetrad $\backslash$ and with the convention $\backslash$, the Weyl-NP scalars are defined by〔Jeremy Bransom Griffiths, Jiri Podolsky. ''Exact Space-Times in Einstein's General Relativity''. Cambridge: Cambridge University Press, 2009. Chapter 2.〕〔Valeri P Frolov, Igor D Novikov. ''Black Hole Physics: Basic Concepts and New Developments''. Berlin: Springer, 1998. Appendix E.〕〔Abhay Ashtekar, Stephen Fairhurst, Badri Krishnan. ''Isolated horizons: Hamiltonian evolution and the first law''. Physical Review D, 2000, 62(10): 104025. Appendix B. (gr-qc/0005083 )〕 :$\backslash Psi\_0\; :=\; C\_\; l^\backslash alpha\; m^\backslash beta\; l^\backslash gamma\; m^\backslash delta\backslash \; ,$ :$\backslash Psi\_1\; :=\; C\_\; l^\backslash alpha\; n^\backslash beta\; l^\backslash gamma\; m^\backslash delta\backslash \; ,$ :$\backslash Psi\_2\; :=\; C\_\; l^\backslash alpha\; m^\backslash beta\; \backslash bar^\backslash gamma\; n^\backslash delta\backslash \; ,$ :$\backslash Psi\_3\; :=\; C\_\; l^\backslash alpha\; n^\backslash beta\; \backslash bar^\backslash gamma\; n^\backslash delta\backslash \; ,$ :$\backslash Psi\_4\; :=\; C\_\; n^\backslash alpha\; \backslash bar^\backslash beta\; n^\backslash gamma\; \backslash bar^\backslash delta\backslash \; .$ Note: If one adopts the convention $\backslash$, the definitions of $\backslash Psi\_i$ should take the opposite values;〔Ezra T Newman, Roger Penrose. ''An Approach to Gravitational Radiation by a Method of Spin Coefficients''. Journal of Mathematical Physics, 1962, 3(3): 566-768.〕〔Ezra T Newman, Roger Penrose. ''Errata: An Approach to Gravitational Radiation by a Method of Spin Coefficients''. Journal of Mathematical Physics, 1963, 4(7): 998.〕〔Subrahmanyan Chandrasekhar. ''The Mathematical Theory of Black Holes''. Chicago: University of Chikago Press, 1983.〕〔Peter O'Donnell. ''Introduction to 2-Spinors in General Relativity''. Singapore: World Scientific, 2003.〕 that is to say, $\backslash Psi\_i\backslash mapsto-\backslash Psi\_i$ after the signature transition. 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「Weyl scalar」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.