Relativistic oblique shocks with ordered or random magnetic fields: tangential field governs

ABSTRACT Relativistic magnetohydrodynamic shocks are efficient particle accelerators, often invoked in the models of gamma-ray bursts (GRBs) and shock-powered fast radio (FRBs). Most theoretical studies assume a perpendicular shock with an ordered magnetic field to normal. However, degree magnetization σ geometry GRB/FRB scenarios still poorly constrained by observations. Analogous associated total strength, we define tangential σ⊥ component. We explore jump conditions magnetized relativistic shocks, either arbitrary inclination angle or random anisotropy. In case, find that governed instead σ, insensitive angles anisotropy pre-shock field. The approximated analytical solution developed this work could serve as quick check for numerical simulations apply GRBs/FRBs more general geometry.