2006/06/12 by A. Balaguera-Antolinez, A Balaguera-Antolínez, D. F. Mota +3 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/13/013
published as Class.Quant.Grav. 23 (2006) 4497-4510 · 15 pages, 11 figures, published in Class. Quant. Grav. References added
openalex publication_date 2006/06/12 · arxiv created 2006/07/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The cosmological constant Λ modifies certain properties of large astrophysical rotating configurations with ellipsoidal geometries, provided the objects are not too compact. Assuming an equilibrium configuration and so using the tensor virial equation with Λ, we explore several equilibrium properties of homogeneous rotating ellipsoids. One shows that the bifurcation point, which in the oblate case distinguishes the Maclaurin ellipsoid from the Jacobi ellipsoid, is sensitive to the cosmological constant. Adding to that, the cosmological constant allows triaxial configurations of equilibrium rotating the minor axis as solutions of the virial equations. The significance of the result lies in the fact that minor axis rotation is indeed found in nature. Being impossible for the oblate case, it is permissible for prolate geometries, with Λ being zero and positive. For the triaxial case, however, an equilibrium solution is found only for non-zero positive Λ. Finally, we solve the tensor virial equation for the angular velocity and display special effects of the cosmological constant there.