Exact solution of one-dimensional relativistic jet with relativistic equation of state

ABSTRACT We study the evolution of one-dimensional relativistic jets, using exact solution Riemann problem for flows. For this purpose, we solve equations ideal special fluid composed dissimilar particles in flat space-time and thermodynamics is governed by a equation state. obtain jets impinging on denser ambient media. The time variation cross-section jet-head modelled incorporated. present initial condition that gives rise to reverse shock. If increases time, jet propagation speed slows down significantly reverse-shock may recede opposite direction jet. show composition medium can affect significantly. instance, depends maximum pair-dominated jet, rather than pure electron-positron or electron-proton also strongly depend