Relativistic blast waves that accelerate

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Blasts, Hydrodynamics, Particle Acceleration, Relativity, Shock Waves, Wave Propagation, Quasars, Supernovae

Scientific paper

An approximate analytical similarity solution is derived for the problem of an ultrarelativistic, adiabatic blast wave which results from a point explosion at the origin of a cold (i.e., nonrelativistic), spherically symmetric gas in which the density decreases fast enough with radius to accelerate the shock wave toward larger radii. This solution includes both the shock propagation law and the details of the postshock flow. It is relevant to models of compact, extragalactic radio sources involving relativistic shock waves, as well as to the supernova shock model for cosmic ray acceleration.

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