Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids
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Publication:3247697
DOI10.1103/PhysRev.107.884zbMath0080.18306OpenAlexW2020780819MaRDI QIDQ3247697
Publication date: 1957
Published in: Physical Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrev.107.884
Related Items (27)
Stability of Riemann solutions with large oscillation for the relativistic Euler equations ⋮ Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas ⋮ Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics ⋮ Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state ⋮ Flux-approximation limits of solutions to the relativistic Euler equations for polytropic gas ⋮ Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations ⋮ Riemann problem for the isentropic relativistic Chaplygin Euler equations ⋮ Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation ⋮ Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations ⋮ Global existence and non-relativistic global limits of entropy solutions to the 1D piston problem for the isentropic relativistic Euler equations ⋮ On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections ⋮ The limits of Riemann solutions to the relativistic van der Waals fluid ⋮ Riemann problem for the relativistic Chaplygin Euler equations ⋮ Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations ⋮ Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation ⋮ Global entropy solutions for isentropic relativistic fluid dynamics ⋮ Non-relativistic limit analysis of the Chandrasekhar–Thorne relativistic Euler equations with physical vacuum ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ On invariance in \(1+1\)-dimensional isentropic relativistic gasdynamics ⋮ Nonrelativistic limits for the 1D relativistic Euler equations with physical vacuum ⋮ Global solutions of the relativistic Euler equations ⋮ Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation ⋮ An Overview of Piston Problems in Fluid Dynamics ⋮ Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions ⋮ Delta waves of the isentropic relativistic Euler system coupled with an advection equation for Chaplygin gas ⋮ Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law
Cites Work
- The gravitational equations and the problem of motion
- Interaction of progressive rarefaction waves
- Isentropic Hydrodynamics in Plane Symmetric Space-Times
- A method of solution of the equations of classical gas-dynamics using Einstein’s equations
- Empty space-times admitting a three parameter group of motions
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