Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-01-07
Class.Quant.Grav. 20 (2003) 2855
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex, 22 pages, Revised version accepted in Class. Quantum. Grav., references added
Scientific paper
10.1088/0264-9381/20/13/330
A generalization of the notion of ellipsoids to curved Riemannian spaces is given and the possibility to use it in describing the shapes of rotating bodies in general relativity is examined. As an illustrative example, stationary, axisymmetric perfect-fluid spacetimes with a so-called confocal inside ellipsoidal symmetry are investigated in detail under the assumption that the 4-velocity of the fluid is parallel to a time-like Killing vector field. A class of perfect-fluid metrics representing interior NUT-spacetimes is obtained along with a vacuum solution with a non-zero cosmological constant.
No associations
LandOfFree
Ellipsoidal shapes in general relativity: general definitions and an application does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ellipsoidal shapes in general relativity: general definitions and an application, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ellipsoidal shapes in general relativity: general definitions and an application will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-722451