The fluid/gravity correspondence: a new perspective on the membrane paradigm

Veronika E Hubeny (1)

1 Department of Mathematical Sciences

This talk gives an overview of the recently-formulated Fluid/Gravity correspondence , which was developed in the context of gauge/gravity duality. Mathematically, it posits that Einstein's equations (with negative cosmological constant) in d + 1 dimensions capture the (generalized) Navier-Stokes ' equations in d dimensions. Given an arbitrary fluid dynamical solution, we can systematically construct a corresponding asymptotically AdS black hole spacetime with a regular horizon whose properties mimic that of the fluid flow. Apart from an overview of this construction, we describe some of its applications and implications.

Mots clés: Physical Sciences

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Veronika E Hubeny. The fluid/gravity correspondence: a new perspective on the membrane paradigm. Classical and Quantum Gravity, 2011, 28 (11), pp.114007. ⟨10.1088/0264-9381/28/11/114007⟩. ⟨hal-00705158⟩