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Description
| - We derive a family of post-Newtonian (PN) Dedekind ellipsoids to first order. They describe non-axially symmetric, homogeneous, and rotating figures of equilibrium. The sequence of the Newtonian Dedekind ellipsoids allows for an axially symmetric limit in which a uniformly rotating Maclaurin spheroid is recovered. However, the approach taken by Chandrasekhar & Elbert to find the PN Dedekind ellipsoids excludes such a limit. In a previous work, we considered an extension to their work that permits a limit of 1 PN Maclaurin ellipsoids. Here we further detail the sequence and demonstrate that a choice of parameters exists with which the singularity formerly found by Chandrasekhar & Elbert along the sequence of PN Dedekind ellipsoids is removed.
- We derive a family of post-Newtonian (PN) Dedekind ellipsoids to first order. They describe non-axially symmetric, homogeneous, and rotating figures of equilibrium. The sequence of the Newtonian Dedekind ellipsoids allows for an axially symmetric limit in which a uniformly rotating Maclaurin spheroid is recovered. However, the approach taken by Chandrasekhar & Elbert to find the PN Dedekind ellipsoids excludes such a limit. In a previous work, we considered an extension to their work that permits a limit of 1 PN Maclaurin ellipsoids. Here we further detail the sequence and demonstrate that a choice of parameters exists with which the singularity formerly found by Chandrasekhar & Elbert along the sequence of PN Dedekind ellipsoids is removed. (en)
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Title
| - A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS
- A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS (en)
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skos:prefLabel
| - A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS
- A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS (en)
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skos:notation
| - RIV/00216208:11320/13:10290463!RIV15-MSM-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/13:10290463
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - neutron stars; kinematics and dynamics of stars; general stars; relativistic processes; gravitation (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Gürlebeck, Norman
- Petroff, David
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1088/0004-637X/777/1/60
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http://localhost/t...ganizacniJednotka
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