The Equations of motion of the ``fireshell''

Details The Equations of motion of the ``fireshell'' The Equations of motion of the ``fireshell''

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc.1053..259b&link_type=abstract

OBSERVATIONAL EVIDENCE FOR BLACK HOLES IN THE UNIVERSE: Proceedings of the 2nd Kolkata Conference on Observational Evidence for

Computer Science

Sound

Gamma-Ray Sources, Gamma-Ray Bursts, Galactic Nuclei, Circumnuclear Matter, And Bulges, Macrosonic Propagation, Finite Amplitude Sound, Shock Waves

Scientific paper

The Fireshell originating a Gamma-Ray Burst (GRB) encompasses an optically thick regime followed by an optically thin one. In the first one the fireshell self-accelerates from a Lorentz gamma factor equal to 1 all the way to 200-300. The physics of this system is based on the continuous annihilation of electron-positron pairs in an optically thick e+e- plasma with a small baryon loading. In the following regime, the optically thin fireshell, composed by the baryons left over after the transparency point, ballistically expands into the CircumBurst Medium (CBM). The dynamics of the fireshell during both regimes will be analyzed. In particular we will re-examine the validity of the constant-index power-law relation between the fireshell Lorentz gamma factor and its radial coordinate, usually adopted in the current literature on the grounds of an ``ultrarelativistic'' approximation. Such expressions are found to be mathematically correct but only approximately valid in a very limited range of the physical and astrophysical parameters and in an asymptotic regime which is reached only for a very short time, if any.

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