Evolution equations for gravitating ideal fluid bodies in general relativity
- 15 February 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 57 (4) , 2317-2322
- https://doi.org/10.1103/physrevd.57.2317
Abstract
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of sound and the specific enthalpy are positive. Using a Lagrangian description of the fluid flow, we obtain evolution equations which are symmetric hyperbolic. Pressure free matter is discussed as a simple subcase.Keywords
This publication has 5 references indexed in Scilit:
- Hyperbolic reductions for Einstein's equationsClassical and Quantum Gravity, 1996
- Initial-boundary value problem for the spherically symmetric Einstein equations for a perfect fluidClassical and Quantum Gravity, 1993
- The initial value problem for a class of general relativistic fluid bodiesJournal of Mathematical Physics, 1992
- Théorèmes d'existence en mécanique des fluides relativistesBulletin de la Société Mathématiques de France, 1958
- Symmetric hyperbolic linear differential equationsCommunications on Pure and Applied Mathematics, 1954