Small Amplitude Forced Fluid Dynamics from Gravity at T = 0
arXiv:1012.1040 · doi:10.1140/epjc/s10052-011-1841-9
Abstract
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.
31 pages, Added comments in Sec.2 and Sec.4, Corrected typos
References in corpus (9)
- Nonlinear Fluid Dynamics from Gravity
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Viscosity, Black Holes, and Quantum Field Theory
- Forced Fluid Dynamics from Gravity
- Shear Modes, Criticality and Extremal Black Holes
- Large rotating AdS black holes from fluid mechanics
- Transport Coefficients at Zero Temperature from Extremal Black Holes
- Nonlinear Magnetohydrodynamics from Gravity
- Slowly Varying Dilaton Cosmologies and their Field Theory Duals