Expanding plasmas from Anti de Sitter black holes

Abstract

We introduce a new foliation of AdS${}_5$ black holes such that the conformal boundary takes the form of a $4$-dimensional FLRW spacetime with scale factor $a(t)$. The foliation employs Eddington-Finkelstein-like coordinates and is applicable to a large class of AdS black holes, supported by matter fields or not, considerably extending previous efforts in the literature. We argue that the holographic dual picture of a CFT plasma on a FLRW background provides an interesting prototype to study the nonequilibrium dynamics of expanding plasmas and use holographic renormalization to extract the renormalized energy-momentum tensor of the dual plasma. We illustrate the procedure for three black holes of interest, namely AdS-Schwarzschild, AdS-Gauss-Bonnet, and AdS-Reissner-Nordström. For the latter, as a by-product, we show that the nonequilibrium dynamics of a CFT plasma subject to a quench in the chemical potential (i.e., a time-dependent chemical potential) resembles a cosmological evolution with the scale factor $a(t)$ being inversely related to the quench profile.

arXiv comment16 pages, no figures; V2: references updated; V3: version to appear in EPJ C

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• Holographic Dark Energy from the Anti-de Sitter Black Hole
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Non-Conformal Behavior of Holographic Entanglement Measures
• Thermodynamic and Holographic Information Dual to Volume
• Generalized Holographic Cosmology: low-redshift observational constraint
• Observational Constraints on the Cosmology with Holographic Dark Fluid