We study the field of an electric point charge that is slowly lowered into an n + 1 dimensional Schwarzschild-Tangherlini black hole. We find that if n > 3, then countably infinite nonzero multipole moments manifest to observers outside the event horizon as the charge falls in. This suggests the final state of the black hole is not characterized by a Reissner-Nordström-Tangherlini geometry. Instead, for odd n, the final state either possesses a degenerate horizon, undergoes a discontinuous topological transformation during the infall of the charge, or both. For even n, the final state is not guaranteed to be asymptotically flat.
The author of the article agrees to the retraction of the article effective May 5, 2021.
By “slowly,” we mean “slow enough that our static considerations remain valid.”
Otherwise (n = 3), (n − 2)|k for all k ∈ Z*, so the case we are considering never applies.
Note that the final state necessarily obeys the Einstein-Maxwell equations since all results in this paper have derived from these equations.