Generalised Planar Black Holes and the Holography of Hydrodynamic Shear

TL;DR

This paper explores generalized planar AdS black holes derived from Plebanski--Demianski metrics and their application in holographically modeling the shear dynamics of the Quark-Gluon Plasma, highlighting potential stability issues.

Contribution

It introduces a new class of generalized planar black holes for holographic QGP modeling, extending known solutions with potential applications in heavy-ion collision physics.

Findings

Generalized black holes can model internal shear in QGP.

Embedded in string theory, these black holes exhibit slow-developing instabilities.

Potential relevance for high chemical potential regimes in experiments.

Abstract

AdS black holes with planar event horizon topology play a central role in AdS/CFT holography, and particularly in its applications. Generalisations of the known planar black holes can be found by considering the Plebanski--Demianski metrics, a very general family of exactly specified solutions of the Einstein equations. These generalised planar black holes may be useful in applications. We give a concrete example of this in the context of the holographic description of the Quark-Gluon Plasma (QGP). We argue that our generalised planar black holes allow us to construct a model of the internal shearing motion generated when the QGP is produced in peripheral heavy-ion collisions. When embedded in string theory, the bulk physics is in fact unstable. We find however that this instability may develop too slowly to affect the evolution of the plasma, except possibly for high values of the quark chemical potential, such as will be studied in experimental scans of the quark matter phase diagram.