File:Weak field approximation diagram.svg

Original file (SVG file, nominally 350 × 156 pixels, file size: 40 KB)

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English: The commutative diagram of the weak field approximation in deriving the Schwarzschild solution of Einstein field equations.
Date
Source Own work
Author IkamusumeFan

LaTeX Source Code

LaTeX This work was created by free software; you can redistribute it and/or modify it under the terms of the LaTeX Project Public License, version 1.3c. See the License for more details.
% One needs PDF2SVG to generate the SVG graph.
% Author: Ika
% Update Date: 12/15/2014

\documentclass{amsart}
\usepackage[paperwidth=280px, paperheight=125px, top=-10px, left=0px, right=0px, bottom=0px]{geometry}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
\Huge
\[
	\xymatrix@C+3em@R+1em{ 
	\frac{d^2 x^\mu}{dt^2} \ar@{=}_{\textbf{Newton}}[d] \ar@{=}^{\textbf{Geodesic}}[r] & -{\Gamma^{\mu}}_{44} \ar@{=}^{\textbf{Levi-Civita}}[d] \\
	-\frac{GM}{r^2} \ar@{=}[r] & \frac{1}{2}\frac{\partial}{\partial r}g_{44}
	}
\]
\end{document}

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15 December 2014

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Date/TimeThumbnailDimensionsUserComment
current19:58, 15 December 2014Thumbnail for version as of 19:58, 15 December 2014350 × 156 (40 KB)IkamusumeFanRevise the subscripts based on the wiki context.
19:41, 15 December 2014Thumbnail for version as of 19:41, 15 December 2014350 × 156 (40 KB)IkamusumeFanUser created page with UploadWizard

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