On slowly rotating homogeneous masses in general relativity
Abstract
The present paper is devoted to a study of slowly rotating homogeneous masses in which the energy density E is a constant. The structure of such configurations is determined with the aid of equations derived by Hartle in the exact framework of general relativity. These configurations have a natural limit in that the static, non-rotating, configurations must have radii (R) exceeding 9/8 times the Schwarzschild radius (R5). The derived structures, for varying RiR5, are illustrated by a series of graphs. A result of particular interest which emerges is that the ellipticity of the configuration, for varying radius but constant mass and angular momentum, exhibits a very pronounced maximum at RiR5 .
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- April 1974
- DOI:
- 10.1093/mnras/167.1.63
- Bibcode:
- 1974MNRAS.167...63C