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On some geometric features of the Kramer interior solution for a rotating perfect fluid

F. J. Chinea·M. J. Pareja
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Abstract

Geometric features (including convexity properties) of an exact interior gravitational field due to a self-gravitating axisymmetric body of perfect fluid in stationary, rigid rotation are studied. In spite of the seemingly non-Newtonian features of the bounding surface for some rotation rates, we show, by means of a detailed analysis of the three-dimensional spatial geodesics, that the standard Newtonian convexity properties do hold. A central role is played by a family of geodesics that are introduced here, and provide a generalization of the Newtonian straight lines parallel to the axis of rotation.

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F. J. Chinea, M. J. Pareja. 1999-09-15. On some geometric features of the Kramer interior solution for a rotating perfect fluid. https://doi.org/10.1088/0264-9381%2F16%2F12%2F305

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