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Black hole formation in AdS and thermalization on the boundary
Author(s) -
Ulf Danielsson,
Esko Keski-Vakkuri,
Martı́n Kruczenski
Publication year - 2000
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2000/02/039
Subject(s) - physics , thermalisation , black hole (networking) , thermal equilibrium , gravitational collapse , duality (order theory) , gravitation , black hole information paradox , classical mechanics , boundary (topology) , black hole thermodynamics , theoretical physics , quantum mechanics , micro black hole , entropy (arrow of time) , computer network , routing protocol , routing (electronic design automation) , mathematics , discrete mathematics , computer science , link state routing protocol , mathematical analysis
We investigate black hole formation by a spherically collapsing thin shell ofmatter in AdS space. This process has been suggested to have a holographicinterpretation as thermalization of the CFT on the boundary of the AdS space.The AdS/CFT duality relates the shell in the bulk to an off-equilibrium stateof the boundary theory which evolves towards a thermal equilibrium when theshell collapses to a black hole. We use 2-point functions to obtain informationabout the spectrum of excitations in the off-equilibrium state, and discuss howit characterizes the approach towards thermal equilibrium. The full holographicinterpretation of the gravitational collapse would require a kinetic theory ofthe CFT at strong coupling. We speculate that the kinetic equations should beinterpreted as a holographic dual of the equation of motion of the collapsingshell.Comment: 20 pages, 2 figures, uses epsf.sty. v2: References adde

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