2008/07/31 by Shunichiro Kinoshita, Shinji Mukohyama, Shin Nakamura +1 · 3 citations
Mathematics · Physics and Astronomy · #Apparent horizon #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual (grammatical number) #Event horizon #Flow (mathematics) #Geometry and complex manifolds #Holography #Horizon #Singularity #gr-qc #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1143/ptp.121.121
published as Prog.Theor.Phys.121:121-164,2009 · 50 pages. v2: typos corrected, a reference added
arxiv created 2008/10/10 · openalex publication_date 2009/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a consistent setup for a holographic dual of Bjorken flow of strongly coupled large-Nc N = 4 SYM-theory plasma. We employ Eddington-Finkelstein type coordinates for the dual geometry, and we propose a late-time expansion there. We construct the dual geometry order by order, and we show that the transport coefficients are determined by the regularity of the geometry. We also show that the dual geometry has an apparent horizon hence an event horizon, which covers the singularity at the origin. We prove that the dual geometry is regular at all orders under an appropriate choice of the transport coefficients. Our model is a concrete well-defined example of time-dependent AdS/CFT.