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

DOI10.1142/S0217732314502058zbMath1308.83022arXiv1304.5739MaRDI QIDQ5179498

Marcelo M. Disconzi, Vamsi Pritham Pingali

Publication date: 20 March 2015

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5739

zbMATH Keywords

Einstein-Euler systemfirst-order symmetric hyperbolic

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Einstein equations (35Q76) Euler equations (35Q31)

Related Items (1)

On the well-posedness of relativistic viscous fluids with non-zero vorticity

Cites Work

• Local existence of solutions of self gravitating relativistic perfect fluids
• The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
• The initial boundary value problem for Einstein's vacuum field equation
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• Relativistic Hydrodynamics
• On the well-posedness of relativistic viscous fluids
• Mathematical general relativity: A sampler
• WELL-POSEDNESS FOR THE EULER–NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT
• Hyperbolic reductions for Einstein's equations

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