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Title: A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS

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 and 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 and Elbert along the sequence of PN Dedekind ellipsoids is removed.
Authors:
 [1] ;  [2]
  1. ZARM, University of Bremen, Am Fallturm, D-28359 Bremen (Germany)
  2. Coordination Centre for Clinical Trials, University of Leipzig, D-04317 Leipzig (Germany)
Publication Date:
OSTI Identifier:
22270629
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 777; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASTROPHYSICS; AXIAL SYMMETRY; EQUILIBRIUM; GRAVITATION; NEUTRON STARS; RELATIVISTIC RANGE; SINGULARITY; SPHEROIDS