"Special relativity"의 두 판 사이의 차이

2011년 9월 25일 (일) 10:46 판

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

gravitational potentail satisfies the following equation (Poisson's equation)
\(\nabla^2 \phi = - 4 \pi G \rho\)
\(\rho\) is the matter density

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 \(T_{\mu \nu}\) acts as a source of the gravitational field

Einstein field equation
\(R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}\)

[[4909919|]]

@@ 33번째 줄: / 33번째 줄: @@
 <h5 style="line-height: 2em; margin: 0px;">Vacuum field equation and gravitational field equation</h5>
-*  gravitational potentail satisfies the following equation (Poisson's equation)<br><math>\nabla^2 \Phi = - 4 \pi G \rho</math><br>
+*  gravitational potentail satisfies the following equation (Poisson's equation)<br><math>\nabla^2 \phi = - 4 \pi G \rho</math><br>
-*  \rho is the matter density<br>
+* <math>\rho</math> is the matter density<br>
+*   <br>
@@ 63번째 줄: / 64번째 줄: @@
 <h5 style="line-height: 2em; margin: 0px;">relativistic matter field equation</h5>
-* [[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>