Geodesics in stationary spacetimes. Application to Kerr spacetime
Differential Geometry
2007-05-23 v2
Abstract
The Levi-Civita connection and geodesic equations for a stationary spacetime are studied in depth. General formulae which generalize those for warped products are obtained. These results are applicated to some regions of Kerr spacetime previously studied by using variational methods. We show that they are neither space-convex nor geodesically connected. Moreover, the whole stationary part of Kerr spacetime is not geodesically connected, except when the angular momentum is equal to zero (Schwarzschild spacetime).
Keywords
Cite
@article{arxiv.math/0106174,
title = {Geodesics in stationary spacetimes. Application to Kerr spacetime},
author = {Jose Luis Flores and Miguel Sanchez},
journal= {arXiv preprint arXiv:math/0106174},
year = {2007}
}
Comments
19 pages. To appear in Int. J. Theor. Phys