Integrability and approximation in Kerr space-time. (English) Zbl 0961.83500
Summary: The approximation method is widely used in general relativity to simplify complicated relativistic problems and the strongly nonlinear Einstein field equation. However, it is shown that an approximation of the Kerr metric can introduce nonsolvability into the geodesic problem. This is explained using the notions of flows, Killing vectors and Killing tensors.
MSC:
| 83C10 | Equations of motion in general relativity and gravitational theory |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
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