Variational principle for relativistic fluid dynamics

Takeshi Kodama, Hans Thomas Elze, Yogiro Hama, Martín Makler, Johann Rafelski

Research output: Contribution to journalConference article

Abstract

Variational principles for special and general relativistic hydrodynamics are discussed with a view to their application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for a suitable ansatz for the dynamical variables such as the 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.

Original languageEnglish (US)
Pages (from-to)275-285
Number of pages11
JournalActa Physica Hungarica New Series Heavy Ion Physics
Volume10
Issue number2-3
StatePublished - Dec 1 1999
EventProceedings of the 1997 World Tribology Congress - London, GBR
Duration: Sep 1 1997Sep 1 1997

Keywords

  • Effective Lagrangian
  • Relativistic fluid
  • Variational principle

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy(all)

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