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Tesi etd-11182010-000947


Thesis type
Tesi di dottorato di ricerca
Author
RICCO, GIOVANNI
URN
etd-11182010-000947
Title
Surface Layers in the Gravity/Hydrodynamics Correspondence
Settore scientifico disciplinare
FIS/02
Corso di studi
FISICA
Commissione
tutor Evslin, Jarah
Parole chiave
  • surface layer
  • AdS/hydrodynamics correspondence
  • AdS black branes
Data inizio appello
14/12/2010;
Consultabilità
completa
Riassunto analitico
The AdS/hydrodynamics correspondence provides a 1-1 map between large wavelength features of AdS black branes and conformal fluid flows. In this Thesis we consider boundaries between nonrelativistic flows, applying the usual boundary conditions for viscous fluids. We find that a naive application of the correspondence to these boundaries yields a surface layer in the gravity theory whose stress tensor is not equal to that given by the Israel matching conditions. In particular, while neither stress tensor satisfies the null energy condition and both have nonvanishing momentum, only Israel's tensor has stress. The disagreement arises entirely from corrections to the metric due to multiple derivatives of the flow velocity, which violate Israel's finiteness assumption in the thin wall limit.
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