Lagrangian Density for Perfect Fluids in General Relativity
- 1 October 1972
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (10) , 1451-1453
- https://doi.org/10.1063/1.1665861
Abstract
A previously discussed variational principle for a perfect fluid in general relativity was restricted to irrotational, isentropic motions of the fluid. It is proven that these restrictions can be dropped, and the original variational principle can be generalized to general motions of the perfect fluid. The form of the basic Lagrangian density is unchanged by these generalizations. An Eulerian fluid description is used throughout. As a by‐product of our variational principle, the 4‐velocity is required to have the generalized Clebsch form.Keywords
This publication has 3 references indexed in Scilit:
- Perfect Fluids in General Relativity: Velocity Potentials and a Variational PrinciplePhysical Review D, 1970
- Relativistic magnetohydrodynamics of a gravitating fluidIl Nuovo Cimento B (1971-1996), 1969
- General Relativistic Variational Principle for Perfect FluidsPhysical Review B, 1954