Abstract
We study scalar, electromagnetic (EM) and Dirac perturbations of the four-dimensional Einstein-Skyrme (ES) black hole (BH), an asymptotically flat solution carrying a global-monopole solid-angle deficit, whose lapse [Formula: see text] is controlled by two independent inputs of the hadronic model, the pion combination [Formula: see text] and the Skyrme coupling [Formula: see text], with [Formula: see text] pinned by the theory rather than being a free integration constant. After deriving the Klein-Gordon, Maxwell and Dirac effective potentials, we obtain the quasinormal modes (QNMs) from the higher-order WKB expansion with Padé averaging and validate them against a characteristic time-domain integration with Prony extraction, the two agreeing to better than [Formula: see text] on the dominant scalar mode. The first overtone tracks the fundamental closely: the damping ratio [Formula: see text] stays within a fraction of a per cent of the Schwarzschild value [Formula: see text] across the scanned [Formula: see text] window, so the Skyrme hair produces no overtone anomaly of the Konoplya-Zhidenko type. The greybody factors (GFs) reported here are analytic lower bounds on the transmission rather than exact transmission coefficients, and at fixed frequency they order as [Formula: see text]. Testing strong cosmic censorship (SCC) at the Cauchy horizon with the slowest-decaying test-field mode, which we identify as the [Formula: see text] EM one, gives [Formula: see text], more than two orders of magnitude below the threshold [Formula: see text], with the margin protected by the model itself. All conclusions are drawn at test-field level; gravitational and coupled Einstein-Skyrme perturbations are not treated here.