"Einstein field equation"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
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 <math>R_{\mu \nu}</math> is the Ricci curvature tensor, <math>R</math>, the scalar curvature,<math>\Lambda</math> is the [[cosmological constant]]<br>
+
*  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 <math>R_{\mu \nu}</math> is the Ricci curvature tensor, <math>R</math> the Ricci scalar curvature, <math>\Lambda</math> is the [[cosmological constant]], <math>T_{\mu \nu}</math> momentum-energy tensor<br>
 +
*   <br>
  
 
 
 
 

2011년 9월 25일 (일) 10:39 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 Ricci scalar curvature, \(\Lambda\) is the cosmological constant, \(T_{\mu \nu}\) momentum-energy tensor
  •  

 

 

 

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

 

 

related items

 

 

encyclopedia

 

 

books

 

 

 

expositions

 

 

 

articles

 

 

 

question and answers(Math Overflow)

 

 

blogs

 

 

experts on the field

 

 

links