Eleven Spherically Symmetric Constant Density Solutions with Cosmological Constant
Abstract Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describ...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Böhmer, Christian G. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2004 |
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| Anmerkung: |
© Plenum Publishing Corporation 2004 |
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| Übergeordnetes Werk: |
Enthalten in: General relativity and gravitation - Kluwer Academic Publishers-Plenum Publishers, 1970, 36(2004), 5 vom: Mai, Seite 1039-1054 |
|---|---|
| Übergeordnetes Werk: |
volume:36 ; year:2004 ; number:5 ; month:05 ; pages:1039-1054 |
| Links: |
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| DOI / URN: |
10.1023/B:GERG.0000018088.69051.3b |
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OLC2113773813 |
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| 520 | |a Abstract Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits at the boundary. Two further types generalise the Einstein static universe. The other new solution is unphysical, it is an increasing pressure model with a geometric singularity. | ||
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Abstract Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits at the boundary. Two further types generalise the Einstein static universe. The other new solution is unphysical, it is an increasing pressure model with a geometric singularity. © Plenum Publishing Corporation 2004 |
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Abstract Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits at the boundary. Two further types generalise the Einstein static universe. The other new solution is unphysical, it is an increasing pressure model with a geometric singularity. © Plenum Publishing Corporation 2004 |
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Abstract Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on as an exterior field. Another solution describes a decreasing pressure model with exterior Schwarzschild-de Sitter spacetime having decreasing group orbits at the boundary. Two further types generalise the Einstein static universe. The other new solution is unphysical, it is an increasing pressure model with a geometric singularity. © Plenum Publishing Corporation 2004 |
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