We here 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 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 the physical and astrophysical parameters and in an asymptotic regime which is reached only for a very short time, if any. © 2008 World Scientific Publishing Co. Pte. Ltd.
The "fireshell" Model in the Swift Era / Bianco, Carlo Luciano; Ruffini, Remo. - STAMPA. - (2008), pp. 1989-1991. (Intervento presentato al convegno Eleventh Marcel Grossman Meeting tenutosi a Berlin; Germany nel 23-29 July 2006) [10.1142/9789812834300_0305].
The "fireshell" Model in the Swift Era
BIANCO, Carlo Luciano;RUFFINI, Remo
2008
Abstract
We here 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 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 the physical and astrophysical parameters and in an asymptotic regime which is reached only for a very short time, if any. © 2008 World Scientific Publishing Co. Pte. Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
