Gullstrand–Painlevé coordinates
coordinate system for the Schwarzschild metric such that the time coordinate is the proper time of a free-falling observer who starts from far away at zero velocity, and the spatial slices are flat
| rdfs:label |
"Gullstrand–Painlevé coordinates"@en
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skos:alt |
"グルストランド・パンルヴェ座標系"@ja |
| schema:description |
"coordinate system for the Schwarzschild metric such that the time coordinate is the proper time of a free-falling observer who starts from far away at zero velocity, and the spatial slices are flat"@en
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schema:date |
"2026-07-15T11:06:02+00:00"^^xsd:dateTime |
| schema:version | 2517739117 |
| wikibase:identifiers | 2 |
| wikibase:sitelinks | 5 |
| wikibase:statements | 4 |
| p:P2534 | wd:statement/Q5617809-0dc6f509-4ca4-d9e5-4b2e-4ceac6459f08 |
| p:P31 | wd:statement/Q5617809-e5317cde-4e65-c236-0997-98773088cdf7 |
| p:P6366 | wd:statement/Q5617809-582DA4C4-EA5A-4449-BF22-4D09E797EA05 |
| p:P646 | wd:statement/Q5617809-7F0CC04E-6E43-420C-959E-84376D999A3E |
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p:direct- |
<https:/ |
| wdt:P2534 | "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>g</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>M</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">−</mo><mn>2</mn><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>M</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow></msqrt></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>r</mi><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">−</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>θ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">−</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>θ</mi><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P31 | scientific theory |
| wdt:P6366 | "2779862288" |
| wdt:P646 | "/m/0280s6y" |
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