SIMBAD references

2005ApJ...633L..13B - Astrophys. J., 633, L13-L16 (2005/November-1)

Exact versus approximate solutions in gamma-ray burst afterglows.

BIANCO C.L. and RUFFINI R.

Abstract (from CDS):

We have recently obtained the exact analytic solutions for the relativistic equations relating the radial and time coordinates of a relativistic, thin uniform shell expanding in the interstellar medium in the fully radiative and fully adiabatic regimes. Here we reexamine the validity of the constant-index power-law relation between the Lorentz gamma factor and its radial coordinate, which is usually adopted in the gamma-ray burst (GRB) 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 physical and astrophysical parameters and in an asymptotic regime that is reached for a very short time only, if at all, and they are shown to be nonapplicable to GRBs.

Abstract Copyright: ∼

Journal keyword(s): Gamma Rays: Bursts - Gamma Rays: Observations - ISM: Kinematics and Dynamics - Relativity

Simbad objects: 6

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