"Einstein field equation"의 두 판 사이의 차이

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<math>\kappa = {8 \pi G \over c^4} </math>
 
<math>\kappa = {8 \pi G \over c^4} </math>
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<h5 style="line-height: 2em; margin: 0px;">equation of motion</h5>
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* [[cosmological constant]]
 
* [[cosmological constant]]
 
* [[differential geometry and topology]]
 
* [[differential geometry and topology]]
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* [[Yang-Mills Theory(Non-Abelian gauge theory)]]
  
 
 
 
 

2011년 9월 17일 (토) 07:58 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

 

 

 

 

 

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