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.

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

References in corpus (7)

• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
• Thermalization of Strongly Coupled Field Theories
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Electrified plasma in AdS/CFT correspondence
• Holographic renormalization and anisotropic black branes in higher curvature gravity
• Holographic thermalization with a chemical potential from Born-Infeld electrodynamics

Cited by in corpus (5)

• Holographic Isotropisation in Gauss-Bonnet Gravity
• Holographic complexity growth in a FLRW universe
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Holographic Dark Energy from the Anti-de Sitter Black Hole
• Non-Conformal Behavior of Holographic Entanglement Measures