Abstract
We study the various approaches to describe a relativistic shock wave in a fluid. Such a problem can occur in many physical realms, for instance for studying heavy-ion collisions at high energy. First we recall the equations obtained by the traditional relativistic fluid theory. Then we try to elaborate a semi-relativistic calculation starting from classical fluid equations. We show that the transcriptions which are necessary to continue the calculations relativistically lead to the same results as previously and that increasing the nonrelativistic part of the calculation involves a noncoherent derivation. Finally we derive the shock equations in the scheme of the relativistic fluid theory elaborated by Arzelies, which implies a variable effective proper mass.
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