"Special relativity"의 두 판 사이의 차이

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imported>Pythagoras0
 
(사용자 2명의 중간 판 8개는 보이지 않습니다)
3번째 줄: 3번째 줄:
 
* can be transformed by Lorentz transformation
 
* can be transformed by Lorentz transformation
 
*  examples
 
*  examples
** space-time $(ct,x,y,z)$
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** space-time <math>(ct,x,y,z)</math>
** four momentum $(m,mv_1,mv_2,mv_3)$
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** four momentum <math>(m,mv_1,mv_2,mv_3)</math>
 
** electromagnetic field
 
** electromagnetic field
  
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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==
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* [[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]]
 
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* [[General relativity]]
  
  
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==expositions==
 
==expositions==
* [http://webs.morningside.edu/slaven/Physics/gr/ General relativity:a very weird world]
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* Silagadze, Z. K. ‘Relativistic Mass and Modern Physics’. Canadian Journal of Physics 92, no. 12 (December 2014): 1643–51. doi:10.1139/cjp-2014-0257.
 
 
 
 
  
 
==articles==
 
==articles==
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[[분류:physics]]
 
[[분류:physics]]
 
[[분류:math and physics]]
 
[[분류:math and physics]]
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[[분류:migrate]]
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==메타데이터==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q11455 Q11455]
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===Spacy 패턴 목록===
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* [{'LOWER': 'special'}, {'LEMMA': 'relativity'}]
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* [{'LEMMA': 'SR'}]
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* [{'LOWER': 'special'}, {'LOWER': 'theory'}, {'LOWER': 'of'}, {'LEMMA': 'relativity'}]
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* [{'LEMMA': 'STR'}]

2021년 2월 17일 (수) 02:27 기준 최신판

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

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


related items

하위페이지


encyclopedia



books


expositions

  • Silagadze, Z. K. ‘Relativistic Mass and Modern Physics’. Canadian Journal of Physics 92, no. 12 (December 2014): 1643–51. doi:10.1139/cjp-2014-0257.

articles



blogs and webpage

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'special'}, {'LEMMA': 'relativity'}]
  • [{'LEMMA': 'SR'}]
  • [{'LOWER': 'special'}, {'LOWER': 'theory'}, {'LOWER': 'of'}, {'LEMMA': 'relativity'}]
  • [{'LEMMA': 'STR'}]