2021-11-27 01:57:15 +01:00
\documentclass { standalone}
%
\usepackage { tikz}
\usetikzlibrary { backgrounds,
arrows.meta,
calc,
decorations.pathmorphing,
shapes.callouts}
\usepackage { tkz-euclide}
%\usetkzobj{all}
\usepackage { xcolor}
\usepackage { ifthen}
%
\definecolor { space} { HTML} { 1F2C4E}
\definecolor { earth} { HTML} { 0089FA}
\definecolor { dida} { HTML} { FFDE00}
\definecolor { title} { HTML} { FBA706}
\definecolor { moon} { HTML} { AFAFAF}
\definecolor { spacetime} { HTML} { 0CF508}
\definecolor { star} { HTML} { 45457D}
\definecolor { radiation} { HTML} { FFD016}
\definecolor { bh2} { HTML} { FDBF38}
\definecolor { bh3} { HTML} { 5A0701}
%
\usepackage { fontspec}
\setmainfont { Open Dyslexic}
%
\title { Lo spaziotempo}
\begin { document}
\tikzset {
partial ellipse/.style args = { #1:#2:#3} { insert path={ + (#1:#3) arc (#1:#2:#3)} } ,
notice/.style = { draw, ellipse callout, callout relative pointer={ #1} } ,
}
\begin { tikzpicture} [background rectangle/.style={ fill=white} ,show background rectangle,>={ [inset=0,angle'=27]Stealth} ]
%title
\draw [black,ultra thick,fill=title] (0,9.8) rectangle (30,16.8);
\node at (15,14.8) { \textcolor { black} { \fontsize { 90} { 91} \selectfont Analogie} } ;
\node at (15,11.8) { \textcolor { black} { \fontsize { 90} { 91} \selectfont spaziotemporali} } ;
%
\begin { scope} [shift={ (0,5)} ]
\draw [ultra thick, fill=earth] (20.5,4) rectangle (25.5,-4);
\node at (23,0) { \includegraphics [width=5cm] { carl_ sagan} } ;
\node (example-textwidth-2) [notice={ (3,0.5)} , ultra thick, right, align=center, text width=12cm, color=black, fill=white, font=\fontsize { 23pt} { 24pt} \selectfont ] at (1,-1) { Benvenuti! Oggi parliamo di un concetto molto importante per la relatività speciale e generale: lo spaziotempo.} ;
\end { scope}
%
\begin { scope} [shift={ (0,-4)} ]
\draw [ultra thick, fill=earth] (4.5,4) rectangle (9.5,-4);
\node at (7,0) { \includegraphics [width=5cm] { carl_ sagan} } ;
\node (example-textwidth-2) [notice={ (-3,0.5)} , ultra thick, right, align=center, text width=12cm, color=black, fill=white, font=\fontsize { 23pt} { 24pt} \selectfont ] at (12,-1) { Uno dei modelli per raccontare la teoria della relatività generale più utilizzati è quello del telo elastico con al centro una massa che lo deforma.} ;
%
\begin { scope} [
shift={ (18,-10)} ,yslant=0.5,xslant=-2
]
\foreach \x in { 0,2,...,6}
\foreach \y in { 0,2,...,6}
\fill (\x ,\y ) rectangle (1+\x ,1+\y ) rectangle (2+\x ,2+\y );
\draw [thick] (0,0) rectangle (8,8);
%\draw [fill=white,opacity=0.5] (4,4) circle (1cm);
\end { scope}
%
\begin { scope} [yslant=0.5,xslant=-2]
\foreach \x in { 0,1,...,8}
\foreach \y in { 0,1,...,8} {
\tkzDefPoint (\x ,\y ){ P\x \y }
}
\foreach \i in { 0,1,...,3} {
%\tkzDrawLine(P\i0,P\i6)
%\draw (P\i0) -- (P\i6);
%\draw (4,4) [partial ellipse=90:270:-\i+4 and 4];
\draw (P\i 0) to[out=90+10*\i ,in=270-10*\i ] (P\i 6);
}
2021-12-07 02:31:55 +01:00
\foreach \i in { 0,1,...,3} {
%\tkzDrawLine(P\i0,P\i6)
%\draw (P\i0) -- (P\i6);
%\draw (4,4) [partial ellipse=90:270:-\i+4 and 4];
\draw (P0\i ) to[out=180+10*\i ,in=360-10*\i ] (P6\i );
}
2021-11-27 01:57:15 +01:00
\foreach \i in { 5,6,...,8} {
%\tkzDrawLine(P\i0,P\i6)
%\draw (P\i0) -- (P\i6);
%\draw (4,4) [partial ellipse=90:270:-\i+4 and 4];
%\def\j{8-\i}
%\draw (P\i0) to[out=270-10*\j,in=90+10*\j] (P\i6);
}
\foreach \i in { 0,1,...,7} {
%\tkzDrawLine(P0\i,P6\i)
2021-12-07 02:31:55 +01:00
%\draw (P0\i) -- (P6\i);
2021-11-27 01:57:15 +01:00
}
%\fill (\x,\y) rectangle (1+\x,1+\y) rectangle (2+\x,2+\y);
%\draw [thick] (0,0) rectangle (8,8);
\end { scope}
%
\draw [fill=red] (14.5,-7.5) circle (1cm);
\end { scope}
%
\begin { scope} [shift={ (0,31)} ]
\draw [fill=space,ultra thick] (0.5,8) rectangle (28,-6.7);
%dida
\begin { scope}
%
%\node at (20,7) {\textcolor{black}{\fontsize{23}{24}\selectfont Un buco nero è una}};
%\node at (20,6) {\textcolor{black}{\fontsize{23}{24}\selectfont regione sferica dello spazio tempo}};
%\node at (20,5) {\textcolor{black}{\fontsize{23}{24}\selectfont da cui nemmeno la luce è in grado}};
%\node at (20,4) {\textcolor{black}{\fontsize{23}{24}\selectfont di fuggire.}};
%\node at (20,3) {\textcolor{black}{\fontsize{23}{24}\selectfont Il raggio di questa sfera}};
%\node at (20,2) {\textcolor{black}{\fontsize{23}{24}\selectfont è detto raggio di Schwarzschild}};
%\node at (20,0.5) {\textcolor{black}{\fontsize{23}{24}\selectfont $r_S = \frac{2GM}{c^2}$}};
%\draw[fill=dida,thick] (11,-6.5) rectangle (29.2,-0.8);
%\node at (20,-1.5) {\textcolor{black}{\fontsize{23}{24}\selectfont Questo raggio è anche detto}};
%\node at (20,-2.5) {\textcolor{black}{\fontsize{23}{24}\selectfont \emph{orizzonte degli eventi}}};
%\node at (20,-3.5) {\textcolor{black}{\fontsize{23}{24}\selectfont perché oltre questa superficie}};
%\node at (20,-4.5) {\textcolor{black}{\fontsize{23}{24}\selectfont non sappiamo cosa succede alla materia}};
%\node at (20,-5.5) {\textcolor{black}{\fontsize{23}{24}\selectfont né se le leggi fisiche sono ancora valide.}};
\end { scope}
%blackhole
%\draw[fill=black] (7,1) circle (6cm);
\draw [color=white, ultra thick] (3,1) -- (15,1);
\draw (9,1) [color=white,ultra thick,partial ellipse=180:0:6 and 3];
\node at (3,0) { \textcolor { white} { \fontsize { 23} { 24} \selectfont Ottawa} } ;
\node at (15,0) { \textcolor { white} { \fontsize { 23} { 24} \selectfont Venezia} } ;
%
%\draw[ultra thick,color=white,->] (7,1) -- (11.24,5.24) node [midway, above, sloped,opacity=1] (TextNode) {\textcolor{white}{\fontsize{12}{13}\selectfont Raggio di Schwarzschild, $r_S$}};
%\draw (7,1) [color=moon,ultra thick,partial ellipse=180:360:6 and 3];
\end { scope}
%flamm paraboloid
\begin { scope} [shift={ (16,55.5)} ]
%
\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,-2.7) to[out=98,in=300] (-5.1,7.8);
\draw [color=white] (-1.1,-2.7) to[out=100,in=314] (-8.7,6.7);
\draw [color=white] (-1.3,-2.4) to[out=120,in=325] (-5.9,1.9) to[out=148,in=335] (-11.2,4.9);
\draw [color=white] (-1.6,-2.4) to[out=130,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,-2.6) to[out=76,in=231] (7.4,7.2);
\draw [color=white] (1.4,-2.5) to[out=65,in=214] (10.5,5.6);
\draw [color=white] (1.7,-2.4) to[out=75,in=210] (4.85,0.5) to[out=20,in=180] (11.9,2.4);
%
%\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=earth] (0,0) circle (2.9cm);
%
\draw [color=white] (-1.6,-2.4) to[out=150,in=330] (-3.5,-1) to[out=160,in=350] (-10.8,0.7);
\draw [color=white] (-1.3,-2.6) to[out=165,in=330] (-2.9,-1.4) to[out=165,in=360] (-7.8,-1);
\draw [color=white] (-1,-2.7) to[out=130,in=330] (-2,-1.6) to[out=160,in=30] (-4.6,-1.9);
\draw [color=white] (-0.5,-2.85) to[out=90,in=350] (-1,-1.8) to[out=160,in=40] (-1.8,-2.25);
%
\draw [color=white] (1.5,-2.5) to[out=80,in=214] (3.5,-1) to[out=20,in=180] (9,-0.5);
\draw [color=white] (0.65,-2.8) to[out=80,in=214] (1.7,-1.7) to[out=20,in=170] (5.2,-1.8);
\draw [color=white] (0.1,-2.9) to [out=88,in=250] (0.3,-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);
%dida
%\draw [black,thick,fill=dida] (-14,-4) rectangle (14,-15);
%\node at (0,-5) {\textcolor{black}{\fontsize{23}{24}\selectfont Ogni oggetto celeste dotato di massa deforma lo spaziotempo}};
%\node at (0,-6) {\textcolor{black}{\fontsize{23}{24}\selectfont intorno a se. In particolare la deformazione generata da un}};
%\node at (0,-7) {\textcolor{black}{\fontsize{23}{24}\selectfont buco nero è tale per cui la velocità di fuga dalla superficie}};
%\node at (0,-8) {\textcolor{black}{\fontsize{23}{24}\selectfont è superiore a quella della luce}};
%\node at (0,-9.5) {\textcolor{black}{\fontsize{23}{24}\selectfont $v_f = \sqrt{\frac{r_s}{r}} \, c$}};
%\node at (0,-11) {\textcolor{black}{\fontsize{23}{24}\selectfont La formula ci dice che al centro del buco nero $(r=0)$,}};
%\node at (0,-12) {\textcolor{black}{\fontsize{23}{24}\selectfont la velocità di fuga è infinita, il che è fisicamente impossibile.}};
%\node at (0,-13) {\textcolor{black}{\fontsize{23}{24}\selectfont Questo ci suggerisce che all'interno del buco nero}};
%\node at (0,-14) {\textcolor{black}{\fontsize{23}{24}\selectfont la fisica è differente rispetto a quella che conosciamo.}};
\end { scope}
%
\begin { scope} [shift={ (0,-38.8)} ]
\draw [fill=space,ultra thick] (0.5,7.5) rectangle (29,-5.5);
\draw [->,color=white,ultra thick] (3,1) -- (15,1);
\draw [->,color=white,ultra thick] (4,-4) -- (4,6);
%
\draw [color=white,ultra thick] (7,-3) -- (7,5);
\draw [color=white,ultra thick] (9,-3) -- (11,5);
\draw [color=white,ultra thick] (12,-3) to[out=90,in=214] (14,5);
%
\node at (16,1) { \textcolor { white} { \fontsize { 23} { 24} \selectfont x} } ;
\node at (3,6) { \textcolor { white} { \fontsize { 23} { 24} \selectfont t} } ;
%
\node at (7,-4) { \textcolor { white} { \fontsize { 23} { 24} \selectfont a} } ;
\node at (9,-4) { \textcolor { white} { \fontsize { 23} { 24} \selectfont b} } ;
\node at (12,-4) { \textcolor { white} { \fontsize { 23} { 24} \selectfont c} } ;
%dida
%\draw[fill=dida,thick] (12.5,6) rectangle (29.5,-3);
%sun
%\draw[fill=white] (7,1) circle (6cm);
%\draw (7,1) [color=black,dashed,ultra thick,partial ellipse=180:0:6 and 3];
%\draw[ultra thick,color=black,->] (7,1) -- (11.24,5.24) node [midway, above, sloped,opacity=1] (TextNode) {\textcolor{black}{\fontsize{12}{13}\selectfont Raggio del Sole, $70000 \, km$}};
%\draw (7,1) [color=black,ultra thick,partial ellipse=180:360:6 and 3];
%dida text
%\node at (21,5) {\textcolor{black}{\fontsize{23}{24}\selectfont Per ogni oggetto dotato di massa}};
%\node at (21,4) {\textcolor{black}{\fontsize{23}{24}\selectfont è possibile calcolare il corrispondente}};
%\node at (21,3) {\textcolor{black}{\fontsize{23}{24}\selectfont raggio di Schwarzschild. Ad esempio}};
%\node at (21,2) {\textcolor{black}{\fontsize{23}{24}\selectfont quello del Sole è di $3 \, km$.}};
%\node at (21,1) {\textcolor{black}{\fontsize{23}{24}\selectfont Questo vuol dire che se il Sole}};
%\node at (21,0) {\textcolor{black}{\fontsize{23}{24}\selectfont diventasse un buco nero,}};
%\node at (21,-1) {\textcolor{black}{\fontsize{23}{24}\selectfont tutta la sua massa si concentrerebbe}};
%\node at (21,-2) {\textcolor{black}{\fontsize{23}{24}\selectfont in una sfera di 3 chilometri di raggio.}};
\end { scope}
%
\begin { scope} [shift={ (-6,-54.3)} ,decoration=snake]
\draw [color=star,fill=star] (15,0) circle (6cm);
\draw [color=radiation!20!star,fill=radiation!20!star] (15,0) circle (5.5cm);
\draw [color=radiation,fill=radiation] (15,0) circle (4.5cm);
\foreach \x in { 0,1,2,3}
{ \begin { scope} [rotate around={ (90 * \x ):(15,0)} ]
\draw [->, color=white, ultra thick] (15,5.5) -- (15,4.5);
\draw [-,decorate,color=radiation,ultra thick,rotate around={ 45:(15,0)} ] (15,4.5) -- (15,5.3);
\draw [->,color=radiation,ultra thick,rotate around={ 45:(15,0)} ] (15,5.3)-- (15,5.5);
\end { scope} }
%
\draw [<-,ultra thick] (20,0) -- (20,-0.5) -- (21.5,-0.5);
\draw [fill=white,thick] (21.5,0.3) rectangle (26.5,-1.5);
\node at (23.4,-0.2) { \textcolor { black} { \fontsize { 17} { 18} \selectfont Attrazione} } ;
\node at (24,-0.9) { \textcolor { black} { \fontsize { 17} { 18} \selectfont gravitazionale} } ;
%
\draw [<-,ultra thick] (18.5,3.4) -- (19.4,2.5) -- (21.5,2.5);
\draw [fill=white,thick] (21.5,3.3) rectangle (28.2,1.6);
\node at (24.8,2.8) { \textcolor { black} { \fontsize { 17} { 18} \selectfont Radiazione nucleare} } ;
\node at (22.5,2.1) { \textcolor { black} { \fontsize { 17} { 18} \selectfont forte} } ;
%dida up
\draw [fill=dida,thick] (8.4,9.2) rectangle (33.8,5.8);
\node at (21,8.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont All'interno di una stella, quando l'equilibrio tra attrazione} } ;
\node at (21,7.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont gravitazionale e forza nucleare forte viene rotto} } ;
\node at (21,6.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont a favore della prima, la stella collassa.} } ;
%
\draw [fill=dida,thick] (20.5,-2.3) rectangle (35.5,-7.7);
\node at (28,-3) { \textcolor { black} { \fontsize { 23} { 24} \selectfont Non tutte le stelle possono} } ;
\node at (28,-4) { \textcolor { black} { \fontsize { 23} { 24} \selectfont diventare buchi neri, ma solo} } ;
\node at (28,-5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont quelle la cui massa è superiore al} } ;
\node at (28,-6) { \textcolor { black} { \fontsize { 23} { 24} \selectfont "limite di Chandrasekhar", che è} } ;
\node at (28,-7) { \textcolor { black} { \fontsize { 23} { 24} \selectfont all'incirca 1.44 masse solari} } ;
\end { scope}
%
\begin { scope} [shift={ (0,-68)} ]
%background
\draw [fill=space,ultra thick] (0.5,5) rectangle (29.5,-8);
%dida
\draw [fill=dida,thick] (0.3,4.7) rectangle (13.6,-1.7);
%blackhole
\draw [fill=black] (18,0) circle (4cm);
%
\draw (18,0) [ultra thick,color=white,partial ellipse=290:330:8 and 2];
\draw [fill=white] (20.8,-1.85) circle (0.2cm);
%
\draw (18,0) [ultra thick,color=white,rotate around={ 30:(18,0)} ,partial ellipse=160:120:9 and 3.6];
\draw [fill=white] (12.5,0.4) circle (0.2cm);
%
\draw (18,0) [ultra thick,color=white,rotate around={ 120:(18,0)} ,partial ellipse=110:140:10 and 2.8];
\draw [fill=white] (17.4,-4.2) circle (0.2cm);
%
\node at (7,4) { \textcolor { black} { \fontsize { 23} { 24} \selectfont Per scoprire un buco nero,} } ;
\node at (7,3) { \textcolor { black} { \fontsize { 23} { 24} \selectfont poiché neanche la luce riesce} } ;
\node at (7,2) { \textcolor { black} { \fontsize { 23} { 24} \selectfont a sfuggire alla sua superficie, } } ;
\node at (7,1) { \textcolor { black} { \fontsize { 23} { 24} \selectfont si studiano i moti orbitali} } ;
\node at (7,0) { \textcolor { black} { \fontsize { 23} { 24} \selectfont delle stelle che} } ;
\node at (7,-1) { \textcolor { black} { \fontsize { 23} { 24} \selectfont gli ruotano attorno} } ;
\end { scope}
%
\begin { scope} [shift={ (0,-86.5)} ]
\draw [fill=space,ultra thick] (0.5,6.5) rectangle (29.5,-5);
%m87 graphic interpretation
\draw [color=bh3,fill=bh3,ultra thick] (15,0.4) ellipse (4.4cm and 3.8cm);
\draw [color=bh2,fill=bh2,ultra thick] (17,1.4) to[out=180,in=230] (15.95,0.6) -- (14.2,0.6) to[out=100,in=0] (14,2.6) to[out=180,in=75] (12,0.9) to[out=255,in=90] (11.9,0.2) to[out=265,in=150] (13,-1.55) to[out=330,in=175] (15.1,-2.5) to[out=0,in=250] (17.9,-0.1) to[out=75,in=10] (17,1.4);
\draw [color=black,fill=black,ultra thick,rotate around={ -10:(15.1,0.9)} ] (15.1,0.9) ellipse (0.9cm and 1.1cm);
\draw [color=white,fill=white,ultra thick] (13.2,0.7) to[out=350,in=10] (13.4,-0.7) to[out=170,in=210] (13.2,0.7);
\draw [color=white,fill=white,rotate around={ 14:(13.2,0)} ] (13.2,0) ellipse (0.3cm and 0.6cm);
\draw [color=white,fill=white] (14.5,-1.3) to[out=310,in=250] (16.9,-0.1) to[out=95,in=50] (16.4,0) to[out=240,in=360] (15,-1) to[out=170,in=120] (14.5,-1.3);
%
\draw [<-,color=white,ultra thick] (18.5,1) -- (21,1);
\node at (25,1.8) { \textcolor { white} { \fontsize { 17} { 18} \selectfont Materia che sta cadendo} } ;
\node at (25.1,1.1) { \textcolor { white} { \fontsize { 17} { 18} \selectfont nel buco nero attraverso} } ;
\node at (24.8,0.4) { \textcolor { white} { \fontsize { 17} { 18} \selectfont l'orizzonte degli eventi} } ;
%
\draw [thick,fill=dida] (14.1,-4.3) rectangle (28.9,-5.8);
\node at (21.5,-4.7) { \textcolor { black} { \fontsize { 14} { 15} \selectfont La foto del buco nero può essere vista al seguente link} } ;
\node at (21.5,-5.4) { \textcolor { black} { \fontsize { 14} { 15} \selectfont https://www.eso.org/public/italy/news/eso1907/} } ;
%
\draw [<-,color=white,ultra thick] (15.1,0.9) -- (5,-2.5);
\node at (5,-3) { \textcolor { white} { \fontsize { 17} { 18} \selectfont Buco nero al centro di M87} } ;
%dida up
\draw [fill=dida,thick] (0.2,10.2) rectangle (29.8,6.8);
\node at (15,9.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont Il 10 aprile del 2019 è stata rilasciata} } ;
\node at (15,8.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont la prima foto di un buco nero realizzata} } ;
\node at (15,7.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont grazie a una rete di radiotelescopi: Event Horizon Telescope} } ;
\end { scope}
%
\begin { scope} [shift={ (0,-103)} ]
%
\draw [fill=space,ultra thick] (1,7.5) rectangle (29,-10);
%
\draw (13.5,-1.5) [ultra thick,color=white,partial ellipse=180:360:4.8 and 4.8];
\draw [color=white,ultra thick] (1,0) to[out=30,in=180] (11.9,4.2) to[out=0,in=90] (18.3,-1.5);
%
\draw [color=white,ultra thick] (8.7,-1.5) to[out=92,in=215] (11.9,4.2) to[out=30,in=185] (17.2,5.9) to[out=5,in=180] (24.5,6.2) -- (28.9,6.2);%1
\draw [color=white,ultra thick] (9.1,-1.5) to[out=92,in=215] (12,3.9) to[out=30,in=185] (17.2,5.6) to[out=5,in=180] (24.5,5.9) -- (28.9,5.9);%2
\draw [color=white,ultra thick] (9.6,-1.5) to[out=96,in=215] (12.1,3.6) to[out=30,in=186.5] (17.2,5.3) to[out=6.5,in=180] (24.5,5.6) -- (28.9,5.6);%3
\draw [color=white,ultra thick] (10.1,-1.5) to[out=100,in=215] (12.2,3.35) to[out=32,in=186] (17.2,5) to[out=6,in=180] (24.5,5.3) -- (28.9,5.3);%4
\draw [color=white,ultra thick] (10.6,-1.5) to[out=110,in=215] (12.3,3.1) to[out=34,in=186] (17.2,4.7) to[out=6,in=180] (24.5,5) -- (28.9,5);%5
\draw [color=white,ultra thick] (11,-1.5) to[out=120,in=215] (12.4,2.8) to[out=36,in=186] (17.2,4.4) to[out=6,in=180] (24.5,4.7) -- (28.9,4.7);%6
\draw [color=white,ultra thick] (11.4,-1.5) to[out=120,in=215] (12.5,2.55) to[out=36,in=186] (17.2,4.1) to[out=6,in=180] (24.5,4.4) -- (28.9,4.4);%7
\draw [color=white,ultra thick] (11.8,-1.5) to[out=120,in=215] (12.6,2.3) to[out=36,in=186] (17.2,3.85) to[out=6,in=180] (24.5,4.1) -- (28.9,4.1);%8
\draw [color=white,ultra thick] (12.2,-1.5) to[out=120,in=215] (12.7,2.1) to[out=36,in=186] (17.2,3.6) to[out=6,in=180] (24.5,3.8) -- (28.9,3.8);%9
\draw [color=white,ultra thick] (12.4,0.8) to[out=120,in=220] (12.8,1.8) to[out=40,in=186] (17.2,3.3) to[out=5,in=180] (24.5,3.5) -- (28.9,3.5);%10
\draw [color=white,ultra thick] (12.7,1.4) to[out=44,in=186] (17.2,3.05) to[out=5,in=180] (24.5,3.2) -- (28.9,3.2);%11
\draw [color=white,ultra thick] (13,1.3) to[out=41,in=186] (17.2,2.8) to[out=5,in=180] (24.5,2.9) -- (28.9,2.9);%12
\draw [color=white,ultra thick] (13.7,1.5) to[out=36,in=186] (17.2,2.5) to[out=5,in=180] (24.5,2.6) -- (28.9,2.6);%13
\draw [color=white,ultra thick] (14,1.4) to[out=32,in=186] (17.2,2.2) to[out=5,in=180] (24.5,2.3) -- (28.9,2.3);%14
\draw [color=white,ultra thick] (14.3,1.25) to[out=32,in=186] (17.2,1.9) to[out=5,in=180] (24.5,2.05) -- (28.9,2.05);%15
\draw [color=white,ultra thick] (14.6,1.1) to[out=32,in=186] (16.7,1.6) to[out=5,in=180] (24.5,1.75) -- (28.9,1.75);%16
\draw [color=white,ultra thick] (14.9,0.9) to[out=32,in=186] (16.7,1.35) to[out=5,in=180] (24.5,1.45) -- (28.9,1.45);%17
\draw [color=white,ultra thick] (15.2,0.7) to[out=32,in=186] (16.7,1.1) to[out=5,in=180] (24.5,1.15) -- (28.9,1.15);%18
\draw [color=white,ultra thick] (15.5,0.6) to[out=20,in=186] (16.7,0.85) to[out=3,in=180] (24.5,0.85) -- (28.9,0.85);%19
\draw [color=white,ultra thick] (15.5,0.3) to[out=30,in=186] (16.7,0.55) to[out=1,in=180] (24.5,0.55) (28.9,0.55);%20
\foreach \x in { 0,1,2,3,4,5}
{ \draw [color=white,ultra thick] (15.5,0.25-0.3*\x ) -- (28.9,0.25-0.3*\x );}
%
\draw [color=white,ultra thick] (9.1,-1.5) to[out=275,in=200] (13,-4.5);
\draw [color=white,ultra thick] (9.6,-1.5) to[out=280,in=155] (11.3,-3.5);
\draw [color=white,ultra thick] (10.1,-1.5) to[out=290,in=155] (10.8,-2.3);
%
\draw [color=red,fill=black,opacity=0.5,ultra thick] (13.5,-1.5) circle (4.5cm);
\draw [color=white,fill=black,ultra thick] (13.5,-1.5) circle (3cm);
\draw [color=white,fill=black,ultra thick] (25.7,-1.5) ellipse (3.2cm and 7.6cm);
%
\draw [<->,color=white,ultra thick] (13.5,-1.5) -- (13.5,1.5);
\node at (14.4,-0.2) { \textcolor { white} { \fontsize { 23} { 24} \selectfont $ r _ S $ } } ;
\draw [<->,color=red,ultra thick,rotate around={ 45:(13.5,-1.5)} ] (13.5,-1.5) -- (13.5,-6);
\node at (13.8,-3.5) { \textcolor { red} { \fontsize { 23} { 24} \selectfont $ 1 . 5 \, r _ S $ } } ;
\draw [->,color=white,ultra thick] (7,-2.5) -- (10.5,-1.5);
\node at (4.8,-2.1) { \textcolor { white} { \fontsize { 23} { 24} \selectfont Sfera di} } ;
\node at (5.6,-3.1) { \textcolor { white} { \fontsize { 23} { 24} \selectfont non ritorno} } ;
\draw [->,color=red,ultra thick] (5.9,-5.1) -- (9.4,-3.5);
\node at (5.9,-6) { \textcolor { red} { \fontsize { 23} { 24} \selectfont Sfera di luce} } ;
\draw [<->,color=white,ultra thick] (25.7,-1.5) -- (25.7,6.1) node [midway, above, sloped] (TextNode) { \textcolor { white} { \fontsize { 20} { 21} \selectfont Raggio di cattura} } ;;
\node at (26.9,1.8) { \textcolor { white} { \fontsize { 23} { 24} \selectfont $ 2 . 6 \, r _ S $ } } ;
%dida up
\draw [fill=dida,thick] (0.2,10.2) rectangle (29.8,6.8);
\node at (15,9.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont La macchia nera, però, è solo l'ombra del buco nero.} } ;
\node at (15,8.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont Il suo raggio, infatti, è la così detta zona di cattura della luce,} } ;
\node at (15,7.5) { \textcolor { black} { \fontsize { 23} { 24} \selectfont grande all'incirca 2.6 raggi di Schwarzschild.} } ;
%
\draw [thick,fill=dida] (14.1,-9.4) rectangle (28.9,-11.6);
\node at (21.5,-9.8) { \textcolor { black} { \fontsize { 14} { 15} \selectfont Schema ispirato dal video youtube di Veristasium da} } ;
\node at (21.5,-10.5) { \textcolor { black} { \fontsize { 14} { 15} \selectfont un'idea di Gabriele Ghisellini} } ;
\node at (21.5,-11.2) { \textcolor { black} { \fontsize { 14} { 15} \selectfont Link video: https://youtu.be/zUyH3XhpLTo} } ;
\end { scope}
%
\begin { scope} [shift={ (0,-115.8)} ]
\node at (27,0) () { \includegraphics [width=3.7cm] { licenza} } ;
\node at (18,-0.1) { \textcolor { black} { \fontsize { 14} { 15} \selectfont Testo e illustrazioni: @ulaulaman - Gianluigi Filippelli} } ;
\end { scope}
\end { tikzpicture}
%
\end { document}