Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Viscous Asymptotically Flat Reissner-Nordstr\"om Black Branes   We study electrically charged asymptotically flat black brane solutions whose
world-volume fields are slowly varying with the coordinates. Using familiar
techniques, we compute the transport coefficients of the fluid dynamic
derivative expansion to first order. We show how the shear and bulk viscosities
are modified in the presence of electric charge and we compute the charge
diffusion constant which is not present for the neutral black p-brane. We
compute the first order dispersion relations of the effective fluid. For small
values of the charge the speed of sound is found to be imaginary and the brane
is thus Gregory-Laflamme unstable as expected. For sufficiently large values of
the charge, the sound mode becomes stable, however, in this regime the
hydrodynamic mode associated with charge diffusion is found to be unstable. The
electrically charged brane is thus found to be (classically) unstable for all
values of the charge density in agreement with general thermodynamic arguments.
Finally, we show that the shear viscosity to entropy bound is saturated, as
expected, while the proposed bounds for the bulk viscosity to entropy can be
violated in certain regimes of the charge of the brane.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: math
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: econ