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Slansky, Goldman, and Shaw have proposed a model to account for the observation of fractionally charged states. We show that in this model, there are expected to be several low-mass solitons (four being in the mass range -20-60 MeV) associated with the third homotopy group 7r3(SU( 3 )/SO( 3 ) ) = Z4, besides a low-mass ( -30 MeV) Z, monopole. Confirmation of these levels and hence of the model has important implications for Cabrera's results on the magnetic monopole. An efficient algorithm for the calculation of 7 r 3 ( G / H ) for a general Lie group G and a subgroup H is developed. It is pointed out that solitons associated with the third homotopy group are predicted by some grand-unified-theory scenarios.

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The quasinormal modes of the black hole have been determined by solving the linearized perturbation equation by using a series solution, derived earlier, and the Hill determinant. This proves a useful method for determining such frequencies. These are quoted and compared with those obtained by other numerical and semianalytical methods.

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