Self-similar imploding relativistic shock waves

Abstract

Self-similar solutions to the problem of a strong imploding relativistic shock wave are calculated. These solutions represent the relativistic generalisation of the Newtonian Gouderley-Landau-Stanyukovich problem of a strong imploding spherical shock wave converging to a centre. The solutions are found assuming that the pre-shocked flow has a uniform density, and are accurate for sufficiently large times after the formation of the shock wave.

22 pages, 4 figures. Minor corrections and a discussion of the singular C_ characteristic added. Accepted for publication in Physics of Fluids

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