New Relativistic Effects in the Dynamics of Nonlinear Hydrodynamical Waves

Details New Relativistic Effects in the Dynamics of Nonlinear Hydrodynamical Waves New Relativistic Effects in the Dynamics of Nonlinear Hydrodynamical Waves

2002-04-23

arxiv.org/abs/gr-qc/0204073v1

Phys.Rev.Lett. 89 (2002) 114501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.89.114501

In Newtonian and relativistic hydrodynamics the Riemann problem consists of calculating the evolution of a fluid which is initially characterized by two states having different values of uniform rest-mass density, pressure and velocity. When the fluid is allowed to relax, one of three possible wave-patterns is produced, corresponding to the propagation in opposite directions of two nonlinear hydrodynamical waves. New effects emerge in a special relativistic Riemann problem when velocities tangential to the initial discontinuity surface are present. We show that a smooth transition from one wave-pattern to another can be produced by varying the initial tangential velocities while otherwise maintaining the initial states unmodified. These special relativistic effects are produced by the coupling through the relativistic Lorentz factors and do not have a Newtonian counterpart.

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