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

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.

References in corpus (3)

• On the well-posedness of relativistic viscous fluids
• Well-Posedness of the Einstein-Euler System in Asymptotically Flat Spacetimes
• Well-Posedness for the Euler-Nordstrom System with Cosmological Constant

Cited by in corpus (2)

• On the well-posedness of relativistic viscous fluids with non-zero vorticity
• Remarks on the Einstein-Euler-Entropy system