Small Amplitude Forced Fluid Dynamics from Gravity at T = 0

Details Small Amplitude Forced Fluid Dynamics from Gravity at T = 0 Small Amplitude Forced Fluid Dynamics from Gravity at T = 0

2010-12-05

arxiv.org/abs/1012.1040v3

Eur. Phys. J. C(2011) 71:1841

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Added comments in Sec.2 and Sec.4, Corrected typos

Scientific paper

10.1140/epjc/s10052-011-1841-9

The usual derivative expansion of gravity duals of charged fluid dynamics is known to break down in the zero temperature limit. In this case, the fluid-gravity duality is not understood precisely. We explore this problem for a zero temperature charged fluid driven by a low frequency, small amplitude and spatially homogeneous external force. In the gravity dual, this corresponds to time dependent boundary value of the dilaton. We calculate the bulk solution for the dilaton and the leading backreaction to the metric and the gauge fields using the modified low frequency expansion of [11]. The resulting solutions are regular everywhere, establishing fluid-gravity duality to this order.

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