Kruskal–Szekeres coordinates

coordinate system for the Schwarzschild geometry
rdfs:label
"Kruskal–Szekeres coordinates"@en
skos:altLabel
"Kruskal coordinates"@en
schema:description
"coordinate system for the Schwarzschild geometry"@en
schema:dateModified "2026-07-26T03:34:55+00:00"^^xsd:dateTime
schema:version 2522747226
wikibase:identifiers 6
wikibase:sitelinks 12
wikibase:statements 12
p:P138 wd:statement/Q1478885-45450ce4-4870-6d7f-f2d7-42c075a452cd
wd:statement/Q1478885-67b44c46-4def-07d5-047c-a2628bfb6618
p:P1889 wd:statement/Q1478885-51944d6d-4790-74b6-0abf-eb5c3b9a7cf3
p:P2534 wd:statement/Q1478885-e5ccb32d-41d8-ae6b-ba54-ee60cf555d6e
p:P31 wd:statement/Q1478885-c5674cbe-4d30-72eb-49c4-4258cb86048c
p:P4215 wd:statement/Q1478885-99E41C7E-645A-4E79-9041-6F161392D459
p:P5064 wd:statement/Q1478885-55a3d9a8-42bc-dac4-d47a-c22b82918b07
wd:statement/Q1478885-59683982-494e-db4c-d708-bb0ae76b7628
wd:statement/Q1478885-df6a04bf-4f81-80b5-6a1f-c3eea20fba0a
p:P5555 wd:statement/Q1478885-52365748-46c5-aa17-f6cd-d8656b1a9e75
p:P6366 wd:statement/Q1478885-007873CF-9EE1-46FD-B919-46BC2DB1B5B1
p:P646 wd:statement/Q1478885-1EBEC465-B5F0-494A-9B29-6C2779B0F5DF
p:direct-normalized/P6366 <https://makg.org/entity/2780795265>
wdt:P138 George Szekeres
Martin David Kruskal
wdt:P1889 Kruskal diagram
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mi>T</mi></mtd><mtd><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>G</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></msqrt></mrow><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>r</mi><mo lspace="0" rspace="0">/</mo><mn>4</mn><mi>G</mi><mi>M</mi><mo stretchy="false">)</mo><mi>sinh</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>G</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd><mi>X</mi></mtd><mtd><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>G</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></msqrt></mrow><mi>exp</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>r</mi><mo lspace="0" rspace="0">/</mo><mn>4</mn><mi>G</mi><mi>M</mi><mo stretchy="false">)</mo><mi>cosh</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>G</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P31 coordinate system
wdt:P4215 "Kruskal–Szekeres coordinates"
wdt:P5064 "SchwarzschildBlackHoleKruskalCoordinates"
wdt:P5555 <http://commons.wikimedia.org/wiki/Special:FilePath/Kruskal%20diagram%20of%20Schwarzschild%20chart.svg>
wdt:P6366 "2780795265"
wdt:P646 "/m/06ldlr"
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