Tidal shapes and shifts on rotating black holes

Physics

Scientific paper

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Scientific paper

The shape of the tide raised on a rotating black hole by an exterior perturbation is investigated. An expression is given for the perturbed curvature of the two-surface formed by the intersection of the event horizon and a surface of constant time. The result involves only the perturbation in the Weyl tensor component Ψ0 which solves the Teukolsky equation. An application is made to the tide raised by an exterior moon outside a slowly rotating black hole. In this case the position of the tidal bulge is shifted away from the position of the moon in a way analogous to the lag of the tide in the earth-moon system.

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