"Einstein field equation"의 두 판 사이의 차이

2011년 9월 22일 (목) 08:00 판

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

\(S= - {1 \over 2\kappa}\int R \sqrt{-g} \, d^4x \\)

\(\kappa = {8 \pi G \over c^4} \)

@@ 2번째 줄: / 2번째 줄: @@
 * 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>
-relativistic matter field equation
-<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>
-where R_{\mu \nu}\, is the Ricci curvature tensor, R\, the scalar curvature,,  <math>\Lambda</math> is the [[cosmological constant]]
@@ 29번째 줄: / 22번째 줄: @@
 <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>
@@ 52번째 줄: / 41번째 줄: @@
 * [[differential geometry and topology]]
 * [[Yang-Mills Theory(Non-Abelian gauge theory)]]
+* [[string theory and Einstein equations]]