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From the onset of the instability, time-periodic neutral black hole solutions equipped with a nontrivial electromagnetic wave are obtained, which we call {\\it photonic black resonators}. In the horizonless limit, they reduce to geon solutions which may be called {\\it photon stars}. Specifically, we introduce a cohomogeneity-1 ansatz for the metric and Maxwell field and construct such solutions with an $R\\times SU(2)$ isometry group. 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