2020/01/01 by Lorenzo Zaninetti · 2 citations
Physics and Astronomy · #Astrophysics #Astrophysics and Cosmic Phenomena #Classical mechanics #Conservation of energy #Exponential decay #Exponential function #Gamma-ray bursts and supernovae #General relativity #Mathematical analysis #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #RADIUS #Supernova #Theory of relativity #Time dilation #astro-ph.GA #astro-ph.HE
paper · pdf · doi:10.4236/ijaa.2020.104015
published in International Journal of Astronomy and Astrophysics 10(04), 285-301 (Scientific Research Publishing) · 11 figures and 13 pages
openalex publication_date 2020/01/01 · arxiv created 2020/10/20 · arxiv updated 2020/10/21 · openalex created_date 2020/10/22 · openalex updated_date 2026/08/05
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.