Einstein Field Equations Equation Formula Latex Code and Summary

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

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

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

The Einstein tensor is given by: $G^{\alpha\beta}:=R^{\alpha\beta}-\frac{1}{2}g^{\alpha\beta}R$ , and $R:=R\alpha$ is the Ricci scalar.
With the variational principles $g_{\mu v}->g_{\mu v}+\delta g_{\mu v}$ , the Einstein field equations can be derived: $G^{\alpha\beta}:=R^{\alpha\beta}-\frac{1}{2}g^{\alpha\beta}R$ , and $G_{\alpha\beta}=\frac{8\pi \kappa}{c^{2}}T_{\alpha\beta$

Discussion

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Ryan King

I'm really stressing about this test; I hope I pass.

2023-04-29 00:00
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Raymond Sanchez reply to Ryan King

Best Wishes.

2023-05-12 00:00:00.0
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Carol Lee

Manifesting a successful result on this test.

2023-06-06 00:00
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Anthony Thomas reply to Carol Lee

Best Wishes.

2023-06-27 00:00:00.0
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Sandra Jackson

Eager to see a passing mark on this exam.

2024-02-02 00:00
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Roy Butler reply to Sandra Jackson

Gooood Luck, Man!

2024-02-23 00:00:00.0
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