Uniqueness of Singularity

schema.svg

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->

<svg
   xmlns:dc="http://purl.org/dc/elements/1.1/"
   xmlns:cc="http://creativecommons.org/ns#"
   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
   xmlns:svg="http://www.w3.org/2000/svg"
   xmlns="http://www.w3.org/2000/svg"
   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
   width="2400"
   height="500"
   id="svg2"
   version="1.1"
   inkscape:version="0.48.5 r10040"
   sodipodi:docname="New document 1">
  <defs
     id="defs4" />
  <sodipodi:namedview
     id="base"
     pagecolor="#ffffff"
     bordercolor="#666666"
     borderopacity="1.0"
     inkscape:pageopacity="0.0"
     inkscape:pageshadow="2"
     inkscape:zoom="0.5"
     inkscape:cx="799.98295"
     inkscape:cy="252.18246"
     inkscape:document-units="px"
     inkscape:current-layer="layer2"
     showgrid="false"
     inkscape:showpageshadow="false"
     borderlayer="false"
     showguides="true"
     inkscape:guide-bbox="true"
     inkscape:window-width="1366"
     inkscape:window-height="702"
     inkscape:window-x="0"
     inkscape:window-y="27"
     inkscape:window-maximized="1">
    <sodipodi:guide
       orientation="0,1"
       position="-54,250"
       id="guide2985" />
    <sodipodi:guide
       orientation="1,0"
       position="400,600"
       id="guide2987" />
    <sodipodi:guide
       orientation="1,0"
       position="800,606"
       id="guide2989" />
    <sodipodi:guide
       orientation="1,0"
       position="1200,616"
       id="guide2991" />
    <sodipodi:guide
       orientation="1,0"
       position="1600,626"
       id="guide2993" />
    <sodipodi:guide
       orientation="1,0"
       position="2000,624"
       id="guide2995" />
    <sodipodi:guide
       orientation="1,0"
       position="0,601"
       id="guide2997" />
    <sodipodi:guide
       orientation="1,0"
       position="2400,566"
       id="guide2999" />
  </sodipodi:namedview>
  <metadata
     id="metadata7">
    <rdf:RDF>
      <cc:Work
         rdf:about="">
        <dc:format>image/svg+xml</dc:format>
        <dc:type
           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
        <dc:title></dc:title>
      </cc:Work>
    </rdf:RDF>
  </metadata>
  <g
     inkscape:label="Spacetime"
     inkscape:groupmode="layer"
     id="layer1"
     transform="translate(0,-552.36218)">
    <path
       style="fill:none;stroke:#000000;stroke-width:4;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       d="m 0,250 c 0,0 275,0 325,0 50,0 51.42977,50 75,50 23.57023,0 25,-50 75,-50 50,0 175.06437,0 225,0 50,0 44.82352,150 100,150 55.17648,0 50,-150 100,-150 50.15413,0 250.0865,0 275.5,0 24.5,0 19.5406,200 19.5,250 5,0.0417 5,-0.0543 10,0 0.024,-50 -5,-250 20,-250 25.0223,0 274.9962,0 315.5,0 59.5,0 54.7515,200.04369 54.5,250 5,0.0729 5,0.13249 10,0 0.1766,-50.03218 -5,-250 55,-250 40.0524,0 190.0956,0 240,0 100,0 95,250 95,250 l 10,0 c 0,0 -5,-250 95,-250 50.067,0 300,0 300,0 l 0,0"
       id="path3001"
       inkscape:connector-curvature="0"
       transform="translate(0,552.36218)"
       sodipodi:nodetypes="ccsscscccccccccsccccc" />
  </g>
  <g
     inkscape:groupmode="layer"
     id="layer2"
     inkscape:label="Mass">
    <path
       sodipodi:type="arc"
       style="fill:#000000;fill-opacity:0;fill-rule:nonzero;stroke:#000000;stroke-width:4;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       id="path3787"
       sodipodi:cx="428.5"
       sodipodi:cy="200.625"
       sodipodi:rx="20.25"
       sodipodi:ry="19.375"
       d="m 448.75,200.625 a 20.25,19.375 0 1 1 -40.5,0 20.25,19.375 0 1 1 40.5,0 z"
       transform="matrix(1.1235955,0,0,1.1695906,-81.460672,-7.309932)" />
    <path
       transform="matrix(1.7224993,0,0,1.800204,61.90905,-146.04488)"
       d="m 448.75,200.625 a 20.25,19.375 0 1 1 -40.5,0 20.25,19.375 0 1 1 40.5,0 z"
       sodipodi:ry="19.375"
       sodipodi:rx="20.25"
       sodipodi:cy="200.625"
       sodipodi:cx="428.5"
       id="path3789"
       style="fill:#000000;fill-opacity:0;fill-rule:nonzero;stroke:#000000;stroke-width:11.35767945;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       sodipodi:type="arc" />
    <path
       transform="matrix(0.56068186,0,0,0.58598301,959.74782,121.08374)"
       d="m 448.75,200.625 a 20.25,19.375 0 1 1 -40.5,0 20.25,19.375 0 1 1 40.5,0 z"
       sodipodi:ry="19.375"
       sodipodi:rx="20.25"
       sodipodi:cy="200.625"
       sodipodi:cx="428.5"
       id="path3791"
       style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       sodipodi:type="arc" />
    <path
       sodipodi:type="arc"
       style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       id="path3793"
       sodipodi:cx="428.5"
       sodipodi:cy="200.625"
       sodipodi:rx="20.25"
       sodipodi:ry="19.375"
       d="m 448.75,200.625 a 20.25,19.375 0 1 1 -40.5,0 20.25,19.375 0 1 1 40.5,0 z"
       transform="matrix(1.2345679,0,0,1.2903226,1070.9877,-33.870972)" />
    <path
       transform="matrix(2.4691358,0,0,2.5806452,941.97531,-317.74194)"
       d="m 448.75,200.625 a 20.25,19.375 0 1 1 -40.5,0 20.25,19.375 0 1 1 40.5,0 z"
       sodipodi:ry="19.375"
       sodipodi:rx="20.25"
       sodipodi:cy="200.625"
       sodipodi:cx="428.5"
       id="path3795"
       style="fill:#000000;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
       sodipodi:type="arc" />
  </g>
</svg>