On dumb holes and their gravity duals

Abstract

Inhomogeneous fluid flows which become supersonic are known to produce acoustic analogs of ergoregions and horizons. This leads to Hawking-like radiation of phonons with a temperature essentially given by the gradient of the velocity at the horizon. We find such acoustic dumb holes in charged conformal fluids and use the fluid-gravity correspondence to construct dual gravity solutions. A class of quasinormal modes around these gravitational backgrounds perceive a horizon. Upon quantization, this implies a thermal spectrum for these modes.

Holographic three-dimensional fluids with nontrivial vorticity

“…For Kerr-AdS, one expects to find quasinormal modes corresponding to sound modes, and in general there will be a band around the equator in which the fluid velocity exceeds the sound velocity [25] (but not the velocity of light) -see also [26]. Thus one expects the presence of an analogue acoustic horizon.…”

Acoustic black holes: massless scalar field analytic solutions and analogue Hawking radiation

“…As for example, the dynamics of the acoustic black holes are governed by equations of fluid mechanics, while the dynamics of the astrophysical black holes are obtained from Einstein's equations. The fact that these different kinds of black holes possess some fundamental properties in common, associated with the possibility to detect the acoustic black holes in laboratory, which can help us to better understand the physics of a gravitational black hole, motivated a lot of investigation in which concerns the physics of acoustic black holes [30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45].…”

AdS and dS black hole solutions in analogue gravity: The relativistic and nonrelativistic cases

“…In addition, attempts to investigate the AdS/CFT correspondence in the formalism of analogue gravity have also been explored in Refs. [19][20][21][22][23][24] albeit in these cases the analogue system was built up at the boundary, and not in the bulk, as in Refs. [15,16].…”