Carter constant and angular momentum
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Date
2018
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Publisher
World Scientific
Abstract
We investigate the Carter-like constant in the case of a particle moving in a nonrelativistic dipolar potential. This special case is a missing link between the Carter constant in stationary and axially symmetric spacetimes (SASS) such as Kerr solution and its possible Newtonian counterpart. We use this system to carry over the definition of angular momentum from the Newtonian mechanics to the relativistic SASS.
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Keywords
Physics, Carter constant, Killing tensor, Kerr metric, Angular momentum