de Sitter–Schwarzschild metric

metric for static, uncharged black holes in general relativity with a positive cosmological constant
rdfs:label
"de Sitter–Schwarzschild metric"@en
skos:altLabel "ド・ジッター・シュワルツシルト計量"@ja
schema:description
"metric for static, uncharged black holes in general relativity with a positive cosmological constant"@en
schema:dateModified "2026-06-22T15:59:40+00:00"^^xsd:dateTime
schema:version 2509263631
wikibase:identifiers 3
wikibase:sitelinks 4
wikibase:statements 6
p:P10283 wd:statement/Q5244744-5787A419-2634-4BC9-BCC7-D44C2D184FE9
p:P2534 wd:statement/Q5244744-38FB9DCD-41EF-4822-B2E9-C0D0E4681C89
p:P279 wd:statement/Q5244744-cad4a8a4-487d-dccb-e1e5-0c3dbb5bc704
p:P6104 wd:statement/Q5244744-A24681FD-511A-47F3-9333-21A70441E31D
p:P6366 wd:statement/Q5244744-A8E5BA1A-6EAC-4743-A4A6-CED5FAB619EA
p:P646 wd:statement/Q5244744-A6CCBAC5-1FA6-467B-A631-0EB35006692E
p:direct-normalized/P6366 <https://makg.org/entity/49811471>
wdt:P10283 "C49811471"
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"><mi>d</mi><msup><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">&#x2212;</mo><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mfrac><mrow><mi>d</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow></mfrac><mo stretchy="false">+</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">(</mo><mi>d</mi><msup><mi>&#x03B8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>&#x03B8;</mi><mspace width="0.167em"></mspace><mi>d</mi><msup><mi>&#x03D5;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>d</mi><msup><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mi>d</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mfrac><mrow><mi>d</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow></mfrac><mo stretchy="false">+</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">(</mo><mi>d</mi><msup><mi>θ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mi>sin</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>θ</mi><mspace width="0.167em"></mspace><mi>d</mi><msup><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo><mo>,</mo><mspace width="2em"></mspace><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mo stretchy="false">=</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>a</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mo stretchy="false">−</mo><mi>b</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 Lambdavacuum solution
wdt:P6104 WikiProject Mathematics
wdt:P6366 "49811471"
wdt:P646 "/m/063yv7_"
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