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Black hole elasticity and gapped transverse phonons in holography · Around

2017

Black hole elasticity and gapped transverse phonons in holography

Alberte, Lasma, Ammon, Martin, Baggioli, Matteo et al.

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We study the elastic response of planar black hole (BH) solutions in a simple class of holographic models with broken translational invariance.

We compute the transverse quasi-normal mode spectrum and the propagation speed of the lowest energy mode.
We find that the speed of the lowest mode relates to the BH rigidity modulus as dictated by elasticity theory.
This allows to identify these modes as transverse phonons---the pseudo Goldstone bosons of spontaneously broken translational invariance.

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