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>Epicyclic frequencies derived from the effective potential: simple and practical formulae
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Epicyclic frequencies derived from the effective potential: simple and practical formulae
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机译:有效电位产生的周转频率:简单实用的公式
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摘要
We present and discuss a short and simple derivation of orbital epicyclic frequencies for circular geodesic orbits in stationary and axially symmetric spacetimes. Such spacetimes include as special cases analytically known black hole Kerr and Schwarzschild spacetimes, as well as the analytic Hartle-Thorne spacetime and all numerically constructed spacetimes relevant for rotating neutron stars. Our derivation follows directly from energy and angular momentum conservation and it uses the concept of the effective potential. It has never been published, except for a few special cases, but it has already become a part of the common knowledge in the field.
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