Variational Principle for Relativistic Fluid Dynamics
高能物理 - 唯象学
2016-08-15 v1 天体物理学
广义相对论与量子宇宙学
流体动力学
摘要
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.
引用
@article{arxiv.hep-ph/9910208,
title = {Variational Principle for Relativistic Fluid Dynamics},
author = {Hans-Thomas Elze and Yogiro Hama and Takeshi Kodama and Martín Makler and Johann Rafelski},
journal= {arXiv preprint arXiv:hep-ph/9910208},
year = {2016}
}
备注
20 pages, 1 figure