Energy Conservation in the thin layer approximation: III. The spherical relativistic case for supernovae

Abstract

The theory of the conservation of energy in the thin layer approximation has been extended to special relativity. Four models for the density of the circumstellar medium are analyzed, which are represented by constant, power law, exponential and Emden (n=5) profile for density. The astrophysical results are presented in a numerical way, except for a Taylor expansion of the four trajectories in the surrounding of the origin. The free parameters of the models are particularized for SN1993j, for which the radius versus time is known. Some evaluations on the time dilation are presented.

11 figures and 13 pages

References in corpus (3)

• Kinetic simulations of nonrelativistic perpendicular shocks of young supernova remnants. I. Electron shock-surfing acceleration
• Energy Conservation in the thin layer approximation: I. The spherical classic case for supernovae remnants
• A classical and a relativistic law of motion for spherical supernovae

Cited by in corpus (1)

• Energy Conservation in the thin layer approximation: IV. The light curve for supernovae