Shock-Wave Solutions in Closed Form and the Oppenheimer--Snyder Limit in General Reality

DOI10.1137/S0036139996297936zbMath0945.76099OpenAlexW2056663310MaRDI QIDQ4388811

J. A. Smoller, J. Blake Temple

Publication date: 10 May 1998

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139996297936

zbMATH Keywords

ordinary differential equationshyperbolic conservation lawsgeneral relativitydifferential geometrySchwarzschild metricFriedmann-Robertson-Walker metricOppenheimer-Tolman metricmatching of metricscritical expansionOppenheimer-Snyder equationsspherically symmetric shock-wave solutions of Einstein equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (2)

Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land ⋮ Shock wave solution of the variable coefficient nonlinear partial differential equations

This page was built for publication: Shock-Wave Solutions in Closed Form and the Oppenheimer--Snyder Limit in General Reality