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arXiv · 1304.5739

On the Choquet-Bruhat-York-Friedrich formulation of the Einstein-Euler equations

Marcelo M. Disconzi·Vamsi P. Pingali
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Abstract

Short-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.

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Marcelo M. Disconzi, Vamsi P. Pingali. 2014-12-16. On the Choquet-Bruhat-York-Friedrich formulation of the Einstein-Euler equations. https://doi.org/10.1142/s0217732314502058

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