2017/10/31 by Aristomenis Donos, Jerome P. Gauntlett, Vaios Ziogas · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Corollary #Cosmology and Gravitation Theories #Diffusion #Dispersion relation #Einstein #Einstein relation #Field (mathematics) #Holography #Mathematical physics #Mathematics #Metric (unit) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Theoretical physics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep03(2018)056
36 pages; very minor changes, published version
openalex publication_date 2018/03/01 · arxiv created 2018/03/06 · arxiv updated 2018/04/04 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
A bstract We consider black hole spacetimes that are holographically dual to strongly coupled field theories in which spatial translations are broken explicitly. We discuss how the quasinormal modes associated with diffusion of heat and charge can be systematically constructed in a long wavelength perturbative expansion. We show that the dispersion relation for these modes is given in terms of the thermoelectric DC conductivity and static susceptibilities of the dual field theory and thus we derive a generalised Einstein relation from Einstein’s equations. A corollary of our results is that thermodynamic instabilities imply specific types of dynamical instabilities of the associated black hole solutions.