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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)
Title
  • A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS
  • A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS (en)
skos:prefLabel
  • A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS
  • A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS (en)
skos:notation
  • RIV/00216208:11320/13:10290463!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GD205/09/H033), S
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Gürlebeck, Norman
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 58633
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10290463
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • neutron stars; kinematics and dynamics of stars; general stars; relativistic processes; gravitation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [6B95E83C1344]
http://linked.open...i/riv/nazevZdroje
  • Astrophysical Journal
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 777
http://linked.open...iv/tvurceVysledku
  • Gürlebeck, Norman
  • Petroff, David
http://linked.open...ain/vavai/riv/wos
  • 000326147300060
issn
  • 0004-637X
number of pages
http://bibframe.org/vocab/doi
  • 10.1088/0004-637X/777/1/60
http://localhost/t...ganizacniJednotka
  • 11320
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