Locally Inertial Approximations of Balance Laws Arising in (1+1)-Dimensional General Relativity
DOI10.1137/140969889zbMath1318.83008OpenAlexW348780189MaRDI QIDQ5256606
Publication date: 19 June 2015
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140969889
gravitational collapserelativistic hydrodynamicsDirac and Klein-Gordon equations\((1+1)\) general relativityEuler-Liouville systemintrinsic finite differenceslocally inertial schemestructure-preserving and well-balanced schemes
Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications of manifolds of mappings to the sciences (58D30) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) Analogues of general relativity in lower dimensions (83C80) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
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