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Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
A small mass $\ensuremath{\mu}$ in orbit about a much more massive black hole $m$ moves along a world line that deviates from a geodesic of the black hole geometry by $O(\ensuremath{\mu}/m)$. This deviation is said to be caused by the gravitational self-force of the metric perturbation ${h}_{ab}$ from $\ensuremath{\mu}$. For …