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The direct detection of gravitational waves opens the possibility to testgeneral relativity and its alternatives in the strong field regime. Here wefocus on the test of the existence of extra dimensions. The classification ofgravitational waves in metric gravity theories according to their polarizationsin higher-dimensional space-time and the possible observation of thesepolarizations in 3-dimensional subspace are discussed in this work. And we showthat the difference in the response of gravitational waves in detectors withand without extra dimensions can serve as evidence for the existence of extradimensions.

Classification of Gravitational Waves in Higher-dimensional Space-time and Possibility of Observation