Black brane viscosity and the Gregory-Laflamme instability
TLDR
In this article, the authors studied long wavelength perturbations of neutral black p-branes in asymptotically flat space and showed that solutions of the relativistic hydrodynamic equations for an effective p + 1-dimensional fluid yield solutions to the vacuum Einstein equations in a derivative expansion.Abstract:
We study long wavelength perturbations of neutral black p-branes in asymptotically flat space and show that, as anticipated in the blackfold approach, solutions of the relativistic hydrodynamic equations for an effective p + 1-dimensional fluid yield solutions to the vacuum Einstein equations in a derivative expansion. Going beyond the perfect fluid approximation, we compute the effective shear and bulk viscosities of the black brane. The values we obtain saturate generic bounds. Sound waves in the effective fluid are unstable, and have been previously related to the Gregory-Laflamme instability of black p-branes. By including the damping effect of the viscosity in the unstable sound waves, we obtain a remarkably good and simple approximation to the dispersion relation of the Gregory-Laflamme modes, whose accuracy increases with the number of transverse dimensions. We propose an exact limiting form as the number of dimensions tends to infinity.read more
Citations
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References
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TL;DR: For spherically symmetric spacetimes, it is shown that the quasilocal energy has the correct Newtonian limit, and includes a negative contribution due to gravitational binding.
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Nonlinear fluid dynamics from gravity
TL;DR: In this article, a derivation of the nonlinear equations of boundary fluid dynamics from gravity from gravity is presented, with specific values for fluid parameters, and an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.
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Black strings and p -branes are unstable
Ruth Gregory,Raymond Laflamme +1 more
TL;DR: P perturbations around black strings and branes can be stabilized if the extra dimensions are compactified to a scale smaller than the minimum wavelength for which instability occurs and thus will not affect large astrophysical black holes in four dimensions.
Journal ArticleDOI
Nonlinear Fluid Dynamics from Gravity
TL;DR: In this paper, a derivation of the nonlinear equations of boundary fluid dynamics from gravity from gravity is presented, with specific values for fluid parameters, and an explicit expression for the expansion of this fluid stress tensor including terms up to second order in the derivative expansion.