Note on acoustic black holes from black D3-brane

TL;DR

This paper explores the holographic duality between acoustic black holes and nonextremal black D3-branes, revealing a universal relation between their temperatures and a quasinormal mode correspondence.

Contribution

It demonstrates the existence of a holographic dual description of acoustic black holes from black D3-branes, including a universal temperature relation and mode correspondence.

Findings

Holographic dual description of acoustic black holes from D3-branes exists.

Universal relation between Hawking-like and Hawking temperatures.

Phonon/scalar quasinormal mode correspondence established.

Abstract

In this paper, we study the acoustic black hole emerged from the nonextremal black D3-brane, based on the holographic approaches in constructing the acoustic black hole in asymptotically Anti de-Sitter spacetime (AAdS) and the effective hydrodynamic description of the nonextremal black D3-brane. We show that the holographic dual description of the acoustic black hole appeared on the timelike cutoff surface in the nonextremal black D3-brane also exist. 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 Hawking temperature, and a phonon/scalar channel quasinormal mode correspondence.