
In this work, we consider the fluid/gravity correspondence for general rotating black holes. By using the Petrov-like boundary condition in near horizon limit, we study the correspondence between gravitational perturbation and fluid equation. We find that the dual fluid equation for rotating black holes contains a Coriolis force term, which is closely related to the angular velocity of the black hole horizon. This can be seen as a dual effect for the frame-dragging effect of rotating black hole under the holographic picture.
5 pages
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Black holes, Physics, QC1-999, Navier-Stokes equations for incompressible viscous fluids, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Black holes, Physics, QC1-999, Navier-Stokes equations for incompressible viscous fluids, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
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