Note on acoustic black holes from black D3-brane

Abstract

Black D3-branes are known to admit an effective hydrodynamic description when low frequency and long wavelength perturbations are introduced into the system. We use this perturbed nonextremal black D3-brane as background metric to study the emergence of acoustic black holes, following the same holographic approach in constructing the acoustic black hole in asymptotically Anti-de-Sitter (AAdS) background spacetime. We show that the acoustic black hole which appears on the timelike cutoff surface in the nonextremal black D3-brane also admits a holographic dual description. The duality includes the dynamical connection between the acoustic black hole and the bulk gravity, a universal equation relating the Hawking-like temperature and the real Hawking temperature, and a phonon/scalar channel quasi-normal mode correspondence.