## 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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