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<p>We analyze equations describing gravitational waves in the Myers-Perry and Gibbons-Lu-Page-Pope geometries with arbitrary rotation parameters. Assuming that at least one rotation parameter vanishes, we demonstrate full separability of equations for several polarizations of gravitational waves and analyze the resulting ODEs. We also construct some examples of separable solutions describing gravitational excitations of black holes with the maximal number of rotation parameters.</p>

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Gravitational waves in the Myers-Perry geometry

  • 期刊论文

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  • 发表日期：

    2026年3月5日

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  • Oleg Lunin

摘要

We analyze equations describing gravitational waves in the Myers-Perry and Gibbons-Lu-Page-Pope geometries with arbitrary rotation parameters. Assuming that at least one rotation parameter vanishes, we demonstrate full separability of equations for several polarizations of gravitational waves and analyze the resulting ODEs. We also construct some examples of separable solutions describing gravitational excitations of black holes with the maximal number of rotation parameters.