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Note on equatorial geodesics in circular spacetimes

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arxiv 2103.01816 v1 pith:GYQR3YBS submitted 2021-03-02 gr-qc

Note on equatorial geodesics in circular spacetimes

classification gr-qc
keywords equatorialcirculargeodesicsspacetimescasediscusseffectiveequation
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General results on equatorial geodesics are exposed in the case of circular spacetimes featuring an equatorial reflection symmetry. The way the geodesic equation equivalently rewrites in terms of an effective potential is explicitly recalled for circular and non-circular equatorial geodesics. This provides a practical tool to discuss their stability. Statements are illustrated in Kerr spacetime.

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