Regular Article - Theoretical Physics
Expanding plasmas from anti de Sitter black holes
Departamento de Física Matemática, Instituto de Física, Universidade de São Paulo, Rua do Matão, Travessa R, 187, Cidade Universitária, São Paulo, 05508-090, Brasil
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Accepted: 18 November 2016
Published online: 10 December 2016
We introduce a new foliation of AdS 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 .
© The Author(s), 2016