Variational principle for relativistic fluid dynamics

Citation
T. Kodama et al., Variational principle for relativistic fluid dynamics, APH NS-HEAV, 10(2-3), 1999, pp. 275-285
Citations number
12
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA HUNGARICA NEW SERIES-HEAVY ION PHYSICS
ISSN journal
1219-7580 → ACNP
Volume
10
Issue
2-3
Year of publication
1999
Pages
275 - 285
Database
ISI
SICI code
1219-7580(1999)10:2-3<275:VPFRFD>2.0.ZU;2-Y
Abstract
Variational principles for special and general relativistic hydrodynamics a re discussed with a view to their application to obtain approximate solutio ns to these problems. We show that effective Lagrangians can be obtained fo r a suitable ansatz for the dynamical variables such as the density profile of the system. As an example, the relativistic version of spherical drople t motion (Rayleigh-Plesset equation) is derived from a simple Lagrangian. F or the general relativistic case the most general Lagrangian for sphericall y symmetric systems is given.