Study on black-hole dynamics via the fluid/gravity correspondence

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The purpose of this project is to understand the dynamics of black holes via the fluid/gravity correspondence, being the duality between fluids and black holes. In particular, we focus our attention on the universal instability of higher dimensional black holes, the Gregory-Laflamme instability, about which we obtained several important results. We established an important approximation method to describe the dynamics of Rayleigh-Plateau instability, which is the fluid counterpart of the Gregory-Laflamme instability. In addition, we find a new instability of fluids that are dual to higher dimensional black holes. While this result suggests an unknown instability of black holes, it is interesting also from a pure fluid mechanics point of view. The results obtained in this project suggest us a direction of future black-hole study, and contribute to deep understanding of gravitational theories.