"Special relativity"의 두 판 사이의 차이

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==Vacuum field equation and gravitational field equation==
 
 
*  gravitational potentail satisfies the following equation (Poisson's equation)
 
:<math>\nabla^2 \phi = - 4 \pi G \rho</math>
 
* <math>\rho</math> is the matter density
 
*  in relativity theory, the metric plays the role of gravitational potential
 
 
 
 
 
 
==energy-momentum tensor==
 
 
*  also called as stress-energy tensor
 
*  describe the densities and flows of energy and momentum
 
*  all forms of mass-energy can be sources of gravitational fields
 
*  the stress-energy tensor <math>T_{\mu \nu}</math> acts as a source of the gravitational field
 
 
 
 
 
 
 
 
==relativistic Vacuum field equation==
 
 
 
 
 
 
 
 
==relativistic matter field equation==
 
 
* [[Einstein 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>
 
 
 
 
 
 
 
  
 
==related items==
 
==related items==
74번째 줄: 31번째 줄:
  
 
* [[special and general relativity]]
 
* [[special and general relativity]]
** [[cosmological constant]]
 
** [[Einstein field equation]]
 
** [[energy-momentum tensor]]
 
** [[Hamiltonian formulation of GR]]
 
 
** [[light cone coordinates and gauge]]
 
** [[light cone coordinates and gauge]]
 
** [[relativistic point particle]]
 
** [[relativistic point particle]]
 
+
* [[General relativity]]
  
  

2014년 11월 16일 (일) 18:42 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

\[E_{tt}-E_{zz}=0\]


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