Variational Principle for Relativistic Fluid Dynamics

Details Variational Principle for Relativistic Fluid Dynamics Variational Principle for Relativistic Fluid Dynamics

1999-10-01

arxiv.org/abs/hep-ph/9910208v1

J.Phys.G25:1935-1957,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 1 figure

Scientific paper

10.1088/0954-3899/25/9/312

The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatz for the dynamical variables such as density profile of the system. As an example, the relativistic version of spherical droplet motion (Rayleigh-Plesset equation) is derived from a simple Lagrangian. For the general relativistic case the most general Lagrangian for spherically symmetric systems is given.

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