Does gravitational wave propagate in the five dimensional space-time with Kaluza-Klein monopole?

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The behavior of small perturbations around the Kaluza-Klein monopole in the five dimensional space-time is investigated. The fact that the odd parity gravitational wave does not propagate in the five dimensional space-time with Kaluza-Klein monopole is found provided that the gravitational wave is constant in the fifth direction.
10 @ages, LATEX

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