"Special relativity"의 두 판 사이의 차이

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34번째 줄: 34번째 줄:
  
 
*  gravitational potentail satisfies the following equation<br><math>\nabla^2 \Phi = - 4 \pi G \rho</math><br>
 
*  gravitational potentail satisfies the following equation<br><math>\nabla^2 \Phi = - 4 \pi G \rho</math><br>
 +
*  \rho is the matter density<br>
  
 
 
 
 
59번째 줄: 60번째 줄:
 
<h5 style="line-height: 2em; margin: 0px;">relativistic matter field equation</h5>
 
<h5 style="line-height: 2em; margin: 0px;">relativistic matter field equation</h5>
  
* [[search?q=Einstein%20field%20equation&parent id=3709651|Einstein 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>\Lambda</math> is the [[cosmological constant]]<br>
+
* [[Einstein 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>\Lambda</math> is the [[cosmological constant]]<br>
  
 
 
 
 

2010년 10월 12일 (화) 12:37 판

four-vector 
  • can be transformed by Lorentz transformation
  • examples
    • space-time (ct,x,y,z)
    • four momentum (m,mv_1,mv_2,mv_3)
    • electromagnetic field
  •  

 

 

review of Maxwell's equation

 

 

Lorentz transformation and Maxwell's equation

 

 

 

Vacuum field equation and gravitational field equation
  • gravitational potentail satisfies the following equation
    \(\nabla^2 \Phi = - 4 \pi G \rho\)
  • \rho is the matter density

 

 

energy-momentum tensor
  • describe the densities and flows of energy and momentum

 

 

 

relativistic Vacuum field equation

 

 

 

relativistic matter field equation

 

 

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[[4909919|]]

 

 

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