The Geometry of Relativistic Hydrodynamics

Abstract: Hydrodynamics is usually presented as a system of partial differential equations expressing conservation of mass, momentum, and energy. In this lecture I will describe a complementary geometric point of view. For a relativistic fluid, the basic variables live naturally in spacetime, and the equations can be formulated in terms of currents, differential forms, vorticity, and stress-energy. I will explain how this viewpoint brings Poisson and symplectic geometry into relativistic fluid dynamics, starting from the ideal fluid and then indicating some extensions, including charged fluids, entropy, spin, and electromagnetic interactions.

general relativity and quantum cosmologyHEP - phenomenologyHEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

High Energy Theory NYU Abu Dhabi