Black Branes as Piezoelectrics

TL;DR

This paper demonstrates that charged black branes exhibit piezoelectric behavior by identifying a new response coefficient, using the blackfold approach to measure elastic and piezoelectric moduli, and predicting equilibrium conditions for higher-dimensional black rings.

Contribution

It uncovers a new piezoelectric response coefficient in charged black branes and applies the blackfold approach to measure elastic and piezoelectric moduli.

Findings

Charged black branes exhibit piezoelectric behavior.

Measured elastic and piezoelectric moduli of black strings.

Predicted equilibrium conditions for higher-dimensional black rings.

Abstract

We find a realization of linear electroelasticity theory in gravitational physics by uncovering a new response coefficient of charged black branes, exhibiting their piezoelectric behavior. Taking charged dilatonic black strings as an example and using the blackfold approach we measure their elastic and piezolectric moduli. We also use our results to draw predictions about the equilibrium condition of charged dilatonic black rings in dimensions higher than six.