On Slowly Rotating Homogeneous Masses in General Relativity
Open Access
- 1 April 1974
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 167 (1) , 63-80
- https://doi.org/10.1093/mnras/167.1.63
Abstract
The present paper is devoted to a study of slowly rotating homogeneous masses in which the energy density ∊ 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 ( RS ). The derived structures, for varying R / RS , 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 R / RS ∼ 2.4.Keywords
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