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.Comment: v2: 9 pages; important sign corrections in section 3 and other minor
corrections; published in PR