Einstein Field Equations

Tags: #physics

Equation

$$G^{\alpha\beta}:=R^{\alpha\beta}-\frac{1}{2}g^{\alpha\beta}R \\ G_{\alpha\beta}=\frac{8\pi \kappa}{c^{2}}T_{\alpha\beta}$$

Latex Code

                                 G^{\alpha\beta}:=R^{\alpha\beta}-\frac{1}{2}g^{\alpha\beta}R \\
G_{\alpha\beta}=\frac{8\pi \kappa}{c^{2}}T_{\alpha\beta}
                            

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Introduction


Latex code for the Einstein Field Equations. I will briefly introduce the notations in this formulation.

  • The Einstein tensor is given by: , and is the Ricci scalar.
  • With the variational principles , the Einstein field equations can be derived: , and

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