Extremal instability for topological black holes

The initial idea underlying the Weak Gravity Conjecture is that extremal black holes must always be unstable , in the sense that they should slowly decay by emitting either particles or smaller black holes. Here we show that, when this idea is applied to the planar asymptotically AdS black holes which play a central role in applications of holography, the result, via gauge-gravity duality, is a prediction that there should exist a lower bound on the possible densities of cold strongly coupled matter. Recent observations of neutron stars suggest that, in many cases, even the extreme densities in their cores may not be sufficient to generate quark matter, showing that there is indeed a (very high) lower bound on the possible density of cold quark matter. (c) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

The article discusses the application of the Weak Gravity Conjecture in holography, which predicts a lower bound on the density of cold strongly coupled matter through gauge-gravity duality.