Mathematics

Fluid Dynamics from gravity
Shiraz Minwalla, Tata Institute of Fundamental Research

In this talk I study equations of gravity (with a so called negative cosmological constant) in a long distance limit. I demonstrate that these equations, reduce to the equations of fluid dynamics in one dimension lower. This observation partially unifies two of the best studied classical equations of classical physics: Einstein's equations and the Navier Stokes equations: and may have several interesting consequences. At the practical level our work permits the computation of transport coefficients of strongly coupled fluids. More structurally it establishes the presence of fascinating fluid phenomena like turbulence in systems of pure gravity. At a fundamental level our work suggests that spacetime is a thermodynamically emergent notion in some situations.

The work reported on in this talk is set within the paradigm of the AdS/CFT correspondence of string theory.

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Mathematics

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