Expanding plasmas from Anti de Sitter black holes
arXiv:1609.07116 · doi:10.1140/epjc/s10052-016-4530-x
Abstract
We introduce a new foliation of AdS black holes such that the conformal boundary takes the form of a -dimensional FLRW spacetime with scale factor . 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 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