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.
Citation
Yvonne Choquet-Bruhat. James W. York. "On H. Friedrich's formulation of the Einstein equations with fluid sources." Topol. Methods Nonlinear Anal. 18 (2) 321 - 335, 2001.
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