From 01ee1842500cbd6da9670195d53257423fa8d39c Mon Sep 17 00:00:00 2001 From: ulaulaman <34242086+ulaulaman@users.noreply.github.com> Date: Fri, 14 Jun 2019 12:59:14 +0200 Subject: [PATCH] Spacetime deformation by a black hole It's not mathematically correct --- spacetime_deformation.tex | 66 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 66 insertions(+) create mode 100644 spacetime_deformation.tex diff --git a/spacetime_deformation.tex b/spacetime_deformation.tex new file mode 100644 index 0000000..1e14f46 --- /dev/null +++ b/spacetime_deformation.tex @@ -0,0 +1,66 @@ +\documentclass{standalone} +% +\usepackage{tikz} +\usetikzlibrary{backgrounds} +\usepackage{xcolor} +\definecolor{space}{HTML}{0A2543} +% +\title{Table} +\begin{document} + \tikzset{ + partial ellipse/.style args = {#1:#2:#3}{insert path={+ (#1:#3) arc (#1:#2:#3)}}, + } + \begin{tikzpicture}[background rectangle/.style={fill=white},show background rectangle] + %flamm paraboloid with black hole + \begin{scope}[shift={(16,-17)}] + % + \draw [fill=space, ultra thick] (-13,9) rectangle (13,-5); + % + \draw [color=white] (-0.1,-2.9) to[out=90,in=275] (-0.9,8.3); + \draw [color=white] (-0.6,-3) to[out=98,in=300] (-5.1,7.8); + \draw [color=white] (-1.1,-3.2) to[out=100,in=314] (-8.7,6.7); + \draw [color=white] (-1.3,-3.4) to[out=100,in=325] (-5.9,1.9) to[out=148,in=335] (-11.2,4.9); + \draw [color=white] (-1.4,-3.6) to[out=100,in=330] (-4.9,0.1) to[out=150,in=340] (-12,2.9); + % + \draw [color=white] (0.3,-2.9) to[out=81,in=250] (3.5,8.1); + \draw [color=white] (0.8,-3) to[out=76,in=231] (7.4,7.2); + \draw [color=white] (1.2,-3.2) to[out=73,in=214] (10.5,5.6); + \draw [color=white] (1.4,-3.6) to[out=80,in=214] (4.85,0.5) to[out=30,in=200] (11.9,3.6); + % + \draw (0,-3.6) [color=white,partial ellipse=0:180:1.4 and 0.7]; + \draw (0,-1.8) [color=white,partial ellipse=0:180:2.1 and 1]; + \draw (0,-1.2) [color=white,partial ellipse=0:180:2.8 and 1.3]; + \draw (0,-0.6) [color=white,partial ellipse=0:180:3.5 and 1.6]; + \draw (0,0) [color=white,partial ellipse=0:180:4.2 and 1.8]; + \draw (0,0.3) [color=white,partial ellipse=0:180:4.9 and 2.1]; + % + \draw[fill=black] (0,0) circle (2.9cm); + % + \draw [color=white] (-1.4,-3.6) to[out=100,in=330] (-3.5,-1) to[out=160,in=350] (-10.8,0.7); + \draw [color=white] (-1.3,-3.8) to[out=95,in=330] (-2.9,-1.3) to[out=160,in=360] (-7.8,-1); + \draw [color=white] (-1,-4.1) to[out=90,in=320] (-2,-1.6) to[out=160,in=30] (-4.6,-1.9); + \draw [color=white] (-0.5,-4.25) to[out=90,in=300] (-1.2,-1.75) to[out=160,in=40] (-1.8,-2.25); + % + \draw [color=white] (1.05,-4.05) to[out=80,in=214] (3.5,-1) to[out=20,in=180] (9,-0.5); + \draw [color=white] (0.65,-4.2) to[out=80,in=214] (1.7,-1.7) to[out=20,in=170] (5.2,-1.8); + \draw [color=white] (0.1,-4.3) to [out=88,in=250] (0.4,-1.8) to[out=20,in=140] (1,-2.3); + % + \draw (0,-3.6) [color=white,partial ellipse=180:360:1.4 and 0.7]; + \draw (0,-1.8) [color=white,partial ellipse=180:360:2.1 and 1]; + \draw (0,-1.2) [color=white,partial ellipse=180:360:2.8 and 1.3]; + \draw (0,-0.6) [color=white,partial ellipse=180:360:3.5 and 1.6]; + \draw (0,0) [color=white,partial ellipse=180:360:4.2 and 1.8]; + \draw (0,0.3) [color=white,partial ellipse=180:360:4.9 and 2.1]; + \draw [color=white] (0,0.6) ellipse (5.6cm and 2.4cm); + \draw [color=white] (0,0.9) ellipse (6.3cm and 2.7cm); + \draw [color=white] (0,1.2) ellipse (7cm and 3cm); + \draw [color=white] (0,1.5) ellipse (7.7cm and 3.3cm); + \draw [color=white] (0,1.8) ellipse (8.5cm and 3.7cm); + \draw [color=white] (0,2.1) ellipse (9.3cm and 4.1cm); + \draw [color=white] (0,2.4) ellipse (10.2cm and 4.5cm); + \draw [color=white] (0,2.7) ellipse (11.1cm and 4.9cm); + \draw [color=white] (0,3) ellipse (12cm and 5.3cm); + \end{scope} + \end{tikzpicture} +% +\end{document}