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Universality in holographic entropy production

Authors :
Keranen, Ville
Nishimura, Hiromichi
Stricker, Stefan
Taanila, Olli
Vuorinen, Aleksi
Source :
Phys. Rev. D 90, 064033 (2014)
Publication Year :
2014

Abstract

We consider the time evolution of two entropy-like quantities, the holographic entanglement entropy and causal holographic information, in a model of holographic thermalization dual to the gravitational collapse of a thin planar shell. Unlike earlier calculations valid in different limits, we perform a full treatment of the dynamics of the system, varying both the shell's equation of state and initial position. In all cases considered, we find that between an early period related to the acceleration of the shell and a late epoch of saturation towards the thermal limit, the entanglement entropy exhibits universal linear growth in time in accordance with the prediction of Liu and Suh. As intermediate steps of our analysis, we explicitly construct a coordinate system continuous at the location of an infinitely thin shell and derive matching conditions for geodesics and extremal surfaces traversing this region.<br />Comment: 7 pages, 8 figures; v2: References added and typos corrected

Details

Database :
arXiv
Journal :
Phys. Rev. D 90, 064033 (2014)
Publication Type :
Report
Accession number :
edsarx.1405.7015
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevD.90.064033