2024/02/12 by Faran, Tamar, Gruzinov, Andrei, Sari, Re'em
#FOS: Physical sciences #High Energy Astrophysical Phenomena (astro-ph.HE)
paper · doi:10.48550/arxiv.2402.07978
A new type of self-similarity is found in the problem of a plane-parallel, ultra-relativistic blast wave, propagating in a powerlaw density profile of the form ρ∝ z-k. Self-similar solutions of the first kind can be found for k<7/4 using dimensional considerations. For steeper density gradients with k>2, second type solutions are obtained by eliminating a singularity from the equations. However, for intermediate powerlaw indices 7/4