Quasinormal modes for three spin fields on Einstein-Skyrme AdS black holes exhibit a mild overtone anomaly and confirm strong cosmic censorship with Christodoulou parameter β much smaller than 1/2.
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W^{1,2} maps u from the 3-ball to S^2 admit a Hopf lift to S^3 precisely when u^*ω_{S^2} is exact, and this condition permits smooth approximations preserving the exactness.
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Spin-($0$, $1$, $\frac{1}{2}$) Field Perturbations, Quasinormal Modes, Overtones, Greybody Factors and Strong Cosmic Censorship of Einstein-Skyrme Black Holes
Quasinormal modes for three spin fields on Einstein-Skyrme AdS black holes exhibit a mild overtone anomaly and confirm strong cosmic censorship with Christodoulou parameter β much smaller than 1/2.
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Some lifting and approximation properties for maps in $W^{1,2}(\mathbb{B}^3;\mathbb{S}^2)$
W^{1,2} maps u from the 3-ball to S^2 admit a Hopf lift to S^3 precisely when u^*ω_{S^2} is exact, and this condition permits smooth approximations preserving the exactness.