Variational principle for relativistic fluid dynamics

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

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

The variational principle for the special and general relativistic hydrodynamics is discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatze 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)1935-1957
Number of pages23
JournalJournal of Physics G: Nuclear and Particle Physics
Volume25
Issue number9
DOIs
StatePublished - Sep 1999

Fingerprint

fluid dynamics
variational principles
Rayleigh equations
hydrodynamics
profiles

ASJC Scopus subject areas

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

Cite this

Variational principle for relativistic fluid dynamics. / Elze, Hans Thomas; Hama, Yogiro; Kodama, Takeshi; Makler, Martín; Rafelski, Johann.

In: Journal of Physics G: Nuclear and Particle Physics, Vol. 25, No. 9, 09.1999, p. 1935-1957.

Research output: Contribution to journalArticle

Elze, Hans Thomas ; Hama, Yogiro ; Kodama, Takeshi ; Makler, Martín ; Rafelski, Johann. / Variational principle for relativistic fluid dynamics. In: Journal of Physics G: Nuclear and Particle Physics. 1999 ; Vol. 25, No. 9. pp. 1935-1957.
@article{0378bf7a83e547c59f36c3babdc7ee9c,
title = "Variational principle for relativistic fluid dynamics",
abstract = "The variational principle for the special and general relativistic hydrodynamics is discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatze 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.",
author = "Elze, {Hans Thomas} and Yogiro Hama and Takeshi Kodama and Mart{\'i}n Makler and Johann Rafelski",
year = "1999",
month = "9",
doi = "10.1088/0954-3899/25/9/312",
language = "English (US)",
volume = "25",
pages = "1935--1957",
journal = "Journal of Physics G: Nuclear and Particle Physics",
issn = "0954-3899",
publisher = "IOP Publishing Ltd.",
number = "9",

}

TY - JOUR

T1 - Variational principle for relativistic fluid dynamics

AU - Elze, Hans Thomas

AU - Hama, Yogiro

AU - Kodama, Takeshi

AU - Makler, Martín

AU - Rafelski, Johann

PY - 1999/9

Y1 - 1999/9

N2 - The variational principle for the special and general relativistic hydrodynamics is discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatze 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.

AB - The variational principle for the special and general relativistic hydrodynamics is discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable ansatze 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.

UR - http://www.scopus.com/inward/record.url?scp=0033419477&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033419477&partnerID=8YFLogxK

U2 - 10.1088/0954-3899/25/9/312

DO - 10.1088/0954-3899/25/9/312

M3 - Article

VL - 25

SP - 1935

EP - 1957

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

SN - 0954-3899

IS - 9

ER -