"Special relativity"의 두 판 사이의 차이
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| 4번째 줄: | 4번째 줄: | ||
* examples<br> | * examples<br> | ||
** space-time (ct,x,y,z) | ** space-time (ct,x,y,z) | ||
| − | ** | + | ** electromagnetic field |
* | * | ||
| 83번째 줄: | 83번째 줄: | ||
* http://en.wikipedia.org/wiki/Einstein_field_equations<br> | * http://en.wikipedia.org/wiki/Einstein_field_equations<br> | ||
* http://en.wikipedia.org/wiki/Solutions_of_the_Einstein_field_equations<br> | * http://en.wikipedia.org/wiki/Solutions_of_the_Einstein_field_equations<br> | ||
| − | * http://en.wikipedia.org/wiki/Lorentz_covariant<br> | + | * <br>http://en.wikipedia.org/wiki/Lorentz_covariant<br> |
| − | * | + | * [http://en.wikipedia.org/wiki/Lorentz_covariant ]http://en.wikipedia.org/wiki/Four-vector<br> |
* http://en.wikipedia.org/wiki/ | * http://en.wikipedia.org/wiki/ | ||
* http://www.scholarpedia.org/ | * http://www.scholarpedia.org/ | ||
2010년 5월 15일 (토) 11:33 판
four-vector
- can be transformed by Lorentz transoformation
- examples
- space-time (ct,x,y,z)
- electromagnetic field
review of Maxwell's equation
Lorentz transformation and Maxwell's equation
- http://en.wikipedia.org/wiki/Lorentz_transformation
- one-dimensional example
\(E_{tt}-E_{zz}=0\)
Vacuum field equation and gravitational field equation
- gravitational potentail satisfies the following equation
\(\nabla^2 \Phi = - 4 \pi G \rho\)
energy-momentum tensor
- describe the densities and flows of energy and momentum
relativistic Vacuum field equation
relativistic matter field equation
- Einstein 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 \(\Lambda\) is the cosmological constant
history
encyclopedia
- http://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation
- http://en.wikipedia.org/wiki/Einstein_field_equations
- http://en.wikipedia.org/wiki/Solutions_of_the_Einstein_field_equations
-
http://en.wikipedia.org/wiki/Lorentz_covariant - [1]http://en.wikipedia.org/wiki/Four-vector
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- http://gigapedia.com/items/45025/relativity-demystified---a-self-teaching-guide--2005-12
- 2010년 books and articles
- http://gigapedia.info/1/relativity
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
[[4909919|]]
articles
- On the electrodynamics of moving bodies
- A. Einstein, 1905
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html[2]
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
- http://dx.doi.org/
question and answers(Math Overflow)
blogs and webpage
- Introduction to Differential Geometry and General Relativity
- Lecture Notes by Stefan Waner
- Lecture Notes by Stefan Waner