"Special relativity"의 두 판 사이의 차이

2012년 1월 20일 (금) 04:14 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
in relativity theory, the metric plays the role of gravitational potential

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

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 <h5>four-vector </h5>
+*   <br>
 * can be transformed by Lorentz transformation
 *  examples<br>
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 ** four momentum (m,mv_1,mv_2,mv_3)
 ** electromagnetic field
-*
@@ 35번째 줄: / 35번째 줄: @@
 *  gravitational potentail satisfies the following equation (Poisson's equation)<br><math>\nabla^2 \phi = - 4 \pi G \rho</math><br>
 * <math>\rho</math> is the matter density<br>
-*   <br>
+*  in relativity theory, the metric plays the role of gravitational potential<br>