"Einstein field equation"의 두 판 사이의 차이
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2번째 줄: | 2번째 줄: | ||
* prerequiste : Riemann tensor, the Ricci tensor, and the Ricci scalar | * prerequiste : Riemann tensor, the Ricci tensor, and the Ricci scalar | ||
+ | * relativistic matter field equation<br><math>R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}</math><br> where R_{\mu \nu}\, is the Ricci curvature tensor, R\, the scalar curvature,, <math>\Lambda</math> is the [[cosmological constant]]<br> | ||
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<h5 style="line-height: 2em; margin: 0px;">equation of motion</h5> | <h5 style="line-height: 2em; margin: 0px;">equation of motion</h5> | ||
− | + | * http://en.wikipedia.org/wiki/Einstein%E2%80%93Hilbert_action#Derivation_of_Einstein.27s_field_equations<br> | |
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52번째 줄: | 41번째 줄: | ||
* [[differential geometry and topology]] | * [[differential geometry and topology]] | ||
* [[Yang-Mills Theory(Non-Abelian gauge theory)]] | * [[Yang-Mills Theory(Non-Abelian gauge theory)]] | ||
+ | * [[string theory and Einstein equations]] | ||
2011년 9월 22일 (목) 08:00 판
introduction
- prerequiste : Riemann tensor, the Ricci tensor, and the Ricci scalar
- relativistic matter field equation
\(R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}\)
where R_{\mu \nu}\, is the Ricci curvature tensor, R\, the scalar curvature,, \(\Lambda\) is the cosmological constant
Einstein-Hilbert action
\(S= - {1 \over 2\kappa}\int R \sqrt{-g} \, d^4x \\)
\(\kappa = {8 \pi G \over c^4} \)
equation of motion
history
- cosmological constant
- differential geometry and topology
- Yang-Mills Theory(Non-Abelian gauge theory)
- string theory and Einstein equations
encyclopedia
-
- [1]http://en.wikipedia.org/wiki/Einstein_field_equations
- http://en.wikipedia.org/wiki/Riemann_curvature_tensor
- http://en.wikipedia.org/wiki/Ricci_curvature
- http://en.wikipedia.org/wiki/Scalar_curvature[2]
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
expositions
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field