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 language | English (US) |
|---|---|
| Pages (from-to) | 275-285 |
| Number of pages | 11 |
| Journal | Acta Physica Hungarica New Series Heavy Ion Physics |
| Volume | 10 |
| Issue number | 2-3 |
| State | Published - 1999 |
| Event | Proceedings of the 1997 World Tribology Congress - London, GBR Duration: Sep 1 1997 → Sep 1 1997 |
Keywords
- Effective Lagrangian
- Relativistic fluid
- Variational principle
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- General Physics and Astronomy