Does a gravitational wave propagate in the five-dimensional space-time with Kaluza-Klein monopole?
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The behaviour 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.
PACS03.40.Kf Waves and wave propagation: general mathematical aspects
PACS04.30 Gravitational waves and radiation: theory
PACS11.10.Kk Field theories in higher dimensions (e.g., Kaluza-Klein theories)
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