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arXiv · 1301.3309

The separable analogue of Kerr in Newtonian gravity

K. Glampedakis·T. A. Apostolatos
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Abstract

General Relativity's Kerr metric is famous for its many symmetries which are responsible for the separability of the Hamilton-Jacobi equation governing the geodesic motion and of the Teukolsky equation for wave dynamics. We show that there is a unique stationary and axisymmetric Newtonian gravitational potential that has exactly the same dual property of separable point-particle and wave motion equations. This `Kerr metric analogue' of Newtonian gravity is none other than Euler's 18th century problem of two-fixed gravitating centers.

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K. Glampedakis, T. A. Apostolatos. 2013-02-11. The separable analogue of Kerr in Newtonian gravity. https://doi.org/10.1088/0264-9381%2F30%2F5%2F055006

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