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We calculate the quasi-normal modes of black holes localized on a 3-brane offinite tension embedded in six-dimensional flat spacetime. Using the WKBapproximation, we obtain the frequencies of various types of perturbation bothanalytically and numerically for arbitrary brane tension. We thus extendearlier analytical results which were derived for a brane of small tension.

Quasi-normal modes of a black hole localized on a codimension-two brane of finite tension