"General relativity"의 두 판 사이의 차이

2014년 11월 16일 (일) 17:42 판

\[\nabla^2 \phi = - 4 \pi G \rho\]

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

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

@@ 1번째 줄: / 1번째 줄: @@
+==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==
 * [[cosmological constant]]
 * [[Einstein field equation]]
 * [[energy-momentum tensor]]
 * [[Hamiltonian formulation of GR]]