Analytical proof establishes universality of late-time ringdown tails for any effective potential decaying as 1/r², with different power-law behavior for 1/r^α (1<α<2), covering charged black holes, Kerr, exotic objects, modified gravity, and environmental matter distributions.
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Axial modes of anisotropic neutron stars are integrated numerically for realistic EOS; frequency falls with mass, damping time rises, and scaled quantities follow a near-universal quadratic in compactness that is largely EOS-insensitive but mildly model-dependent.
Regular black holes in Einasto dark matter halos show the strongest deviations from Schwarzschild in photon sphere and shadow properties near a critical halo parameter, remaining consistent with Sgr A* but mildly disfavoring M87* at high values.
Black hole spacetimes in dark matter spikes are solved analytically from TOV equations; ringdown quasinormal frequencies differ from Schwarzschild by up to order 10^{-4}.
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