Black holes in ultralight dark matter solitons undergo quasi-periodic stone-skipping orbits driven by soliton dipole excitations, modifying inspiral dynamics when the black hole is much lighter than the soliton.
We write the perturbation as r(t) =r 0 +ξ(t), ϕ(t) = Ω 0t+η(t),(B30) where the perturbationsξ, ηare first order, or|ξ| ≪r 0 and|η| ≪1
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Stone Skipping Black Holes in Ultralight Dark Matter Solitons
Black holes in ultralight dark matter solitons undergo quasi-periodic stone-skipping orbits driven by soliton dipole excitations, modifying inspiral dynamics when the black hole is much lighter than the soliton.