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General Relativity and the Einstein Equations$
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Yvonne Choquet-Bruhat

Print publication date: 2008

Print ISBN-13: 9780199230723

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199230723.001.0001

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Relativistic Fluids

Relativistic Fluids

(p.259) IX Relativistic Fluids
General Relativity and the Einstein Equations

Yvonne Choquet-Bruhat

Oxford University Press

This chapter presents general properties of perfect fluids. When appropriate definitions are given, some of these properties generalize well-known properties of non-relativistic perfect fluids. However, the equivalence of mass and energy in Relativity introduces some fundamental differences. The limitation by the speed of light of the speed of any macroscopically transmitted signal also leads to new considerations. Topics covered include the case of dust, charged dust; perfect fluid, Euler equations; energy properties, particle number conservation, thermodynamics; wave fronts, propagation speeds, shocks; stationary motion, dynamic velocity for barotropic fluids, general perfect fluids, hyperbolic Leray system, first-order symmetric hyperbolic system, charged fluids, fluids with finite conductivity, magnetohydrodynamics, Yang–Mills fluids, and dissipative fluids.

Keywords:   perfect fluids, dust, Euler equations, thermodynamics, hyperbolic system, magnetohydrodynamics

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