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29 March 2024
 
  » arxiv » 1304.5739

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On the Choquet-Bruhat-York-Friedrich formulation of the Einstein-Euler equations
Marcelo M. Disconzi ; Vamsi P. Pingali ;
Date 21 Apr 2013
AbstractShort-time existence for the Einstein-Euler and the vacuum Einstein equations is proven using a Friedrich inspired formulation due to Choquet-Bruhat and York, where the system is cast into a symmetric hyperbolic form and the Riemann tensor is treated as one of the fundamental unknowns of the problem. The reduced system of Choquet-Bruhat and York, along with the preservation of the gauge, is shown to imply the full Einstein equations.
Source arXiv, 1304.5739
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