2013/04/30 by Marcelo M. Disconzi, Vamsi Pritham Pingali, Vamsi P. Pingali
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Einstein #Einstein equations #Euler's formula #General relativity #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Tensor (intrinsic definition) #gr-qc #math-ph #math.AP #math.DG #math.MP
paper · pdf · doi:10.1142/s0217732314502058
published as Mod. Phys. Lett. A, Vol. 29, No. 39 (2014) 1450205
openalex publication_date 2014/12/05 · arxiv created 2014/12/16 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.