Variational Approach to Hydrodynamics - from QGP to General Relativity

Physics – High Energy Physics – High Energy Physics - Phenomenology

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8 pages; LaTex, uses sprocl.sty - Invited talk presented by HTE at the "Fourth Workshop on Quantumchromodynamics", 1-6 June 19

Scientific paper

We derive the special and general relativistic hydrodynamic equations of motion for ideal fluids from a variational principle. Our approach allows to find approximate solutions, whenever physically motivated trial functions can be used. Illustrating this, a Rayleigh-Plesset type equation for the relativistic motion of a spherical (QGP) droplet is obtained. Also the corresponding general relativistic effective Lagrangian for spherically symmetric systems is presented.

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