Geodesics in stationary spacetimes. Application to Kerr spacetime

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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).
19 pages. To appear in Int. J. Theor. Phys

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Differential Geometry, 53C50; 53C22; 83C15

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http://salesiana.dossiersoluciones.com/handle/123456789/61700

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106174
 http://arxiv.org/abs/math/0106174

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arXiv