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The equations for nonplanar relativistic flow are solved by similarity analysis for a restricted set of problems. The relativistic equation of state p = 13 E is used. The solutions obtained are for flow resulting from a point source of energy at the origin, having a power law time dependence. The results are applied to the problem of spherical shock propagation into a medium and to the problem of cosmic ray generation from supernovae. It is found that the predicted spectrum of cosmic rays is somewhat steeper than is actually observed.
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Peter G. Eltgroth (1972) studied this question.
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