Einstein field equation
http://bomber0.myid.net/ (토론)님의 2011년 9월 3일 (토) 07:41 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 \\)
\(\kappa = {8 \pi G \over c^4} \)
history
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