Damping of relativistic shocks in an expanding universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Evolution, Relativistic Effects, Shock Wave Propagation, Universe, Astrophysics, Cosmology, Rankine-Hugoniot Relation

Scientific paper

Consideration is given to the propagation and damping of a strong relativistic shock wave in a uniform medium in light of the possible importance of the phenomenon in galaxy formation. A rigorous proof is presented of the conjecture of Liang and Baker (1977) that the damping time for a shock propagating into a uniform medium tends to infinity as the velocity jump tends to the speed of light, for the case of a barotropic fluid in special relativity. The damping of strong shocks in the spatially flat Robertson-Walker space-time is then examined in order to determine the implications of the conjecture for cosmology. It is concluded that in an expanding spatially flat universe the damping time never exceeds the cosmic expansion time, which would tend to make dubious the role played by shock wave propagation in galaxy formation.

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