Born-Rigid Flow and the AdS-CFT Correspondence

TL;DR

This paper reviews rigid flow in relativistic fluid mechanics and its relevance to the AdS-CFT duality of rotating black holes, including recent proofs of key theorems.

Contribution

It discusses the generalisation of the Herglotz-Noether theorem and its implications for the fluid/gravity correspondence in AdS-CFT.

Findings

Generalised Herglotz-Noether theorem proven

Relevance to fluid approximation of rotating black holes clarified

Framework for applying rigid flow concepts to AdS-CFT established

Abstract

This paper reviews the concepts and assumptions of rigid flow in relativistic fluid mech- anics, particularly the generalisation of the classical Herglotz-Noether theorem, that are relevant to the fluid approximation of the AdS-CFT dual of large rotating black-holes used by Bhattacharyya et al. We then give a brief outline of the recently found proof the generalised theorem.