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A note on the relativistic Euler equations

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Jörg Frauendiener

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LETTER TO THE EDITOR

We present an alternative way to write the Euler equations for an ideal isentropic fluid as a symmetric hyperbolic system of evolution equations for a timelike vector field. An equation of state has to be provided which relates the length of this vector to the sound velocity. The relation to the conventional formulation is established and some of the consequences are discussed.


PACS

04.40.-b Self-gravitating systems; continuous media and classical fields in curved spacetime

47.75.+f Relativistic fluid dynamics

47.10.-g General theory in fluid dynamics

MSC

35L90 Abstract hyperbolic evolution equations

37C10 Vector fields, flows, ordinary differential equations

Subjects

Fluid dynamics

Mathematical physics

Gravitation and cosmology

Dates

Issue 14 (21 July 2003)

Received 8 May 2003

Published 16 June 2003



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