Summary
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.
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Abe, O. Does a gravitational wave propagate in the five-dimensional space-time with Kaluza-Klein monopole?. Nuov Cim B 110, 395–401 (1995). https://doi.org/10.1007/BF02741447
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DOI: https://doi.org/10.1007/BF02741447