Astrophysics and Space Science

, Volume 27, Issue 2, pp 453–466 | Cite as

On the equilibrium figures of an ideal rotating liquid in the post-Newtonian approximation of general relativity

II: Maclaurin's P-ellipsoid
  • N. P. Bondarenko
  • K. A. Pyragas


Maclaurin's P-ellipsoid, which is an equilibrium figure in the post-Newtonian approximation of general relativity, is constructed in the neighbourhood of Maclaurin's classical ellipsoid. Its shape and rotation velocity are investigated. It is shown that in the case of a P-ellipsoid with the mass and the angular momentum of a basic ellipsoid the effects of general relativity reduce the rotation velocity and decrease its volume.


General Relativity Angular Momentum Rotation Velocity Equilibrium Figure Basic Ellipsoid 
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Copyright information

© D. Reidel Publishing Company 1974

Authors and Affiliations

  • N. P. Bondarenko
    • 1
  • K. A. Pyragas
    • 1
  1. 1.Institute for Theoretical PhysicsKievUSSR

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