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On the evolution equation for gravitating ideal fluid bodies in general relativity

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Friedrich,  Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Friedrich, H. (1998). On the evolution equation for gravitating ideal fluid bodies in general relativity. Physical Review D, 57(4), 2317-2322. doi:10.1103/PhysRevD.57.2317.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5974-F
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.