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arXiv · 1602.05752

Hydro-elastic Complementarity in Black Branes at large D

Roberto Emparan·Keisuke Izumi·Raimon Luna·Ryotaku Suzuki·Kentaro Tanabe
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Abstract

We obtain the effective theory for the non-linear dynamics of black branes---both neutral and charged, in asymptotically flat or Anti-deSitter spacetimes---to leading order in the inverse-dimensional expansion. We find that black branes evolve as viscous fluids, but when they settle down they are more naturally viewed as solutions of an elastic soap-bubble theory. The two views are complementary: the same variable is regarded in one case as the energy density of the fluid, in the other as the deformation of the elastic membrane. The large-D theory captures finite-wavelength phenomena beyond the conventional reach of hydrodynamics. For asymptotically flat charged black branes (either Reissner-Nordstrom or p-brane-charged black branes) it yields the non-linear evolution of the Gregory-Laflamme instability at large D and its endpoint at stable non-uniform black branes. For Reissner-Nordstrom AdS black branes we find that sound perturbations do not propagate (have purely imaginary frequency) when their wavelength is below a certain charge-dependent value. We also study the polarization of black branes induced by an external electric field.

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Roberto Emparan, Keisuke Izumi, Raimon Luna, Ryotaku Suzuki, Kentaro Tanabe. 2016-02-18. Hydro-elastic Complementarity in Black Branes at large D. https://doi.org/10.1007/jhep06(2016)117

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