### On H. Friedrich's formulation of the Einstein equations with fluid sources

DOI: http://dx.doi.org/10.12775/TMNA.2001.037

#### Abstract

We establish a variant of the symmetric quasi linear first order system

given by H. Friedrich for the evolution equations of gravitating fluid

bodies in General Relativity which can be important to solve realistic

problems. Our version has the advantage of introducing only physical

characteristics. We state explicitly the conditions under which the system

is hyperbolic and admits a well posed Cauchy problem.

given by H. Friedrich for the evolution equations of gravitating fluid

bodies in General Relativity which can be important to solve realistic

problems. Our version has the advantage of introducing only physical

characteristics. We state explicitly the conditions under which the system

is hyperbolic and admits a well posed Cauchy problem.

#### Keywords

Einstein relativity; fluids

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