Abstract
The light curves (LC) for Supernova (SN) can be modeled adopting the conversion of the flux of kinetic energy into radiation. This conversion requires an analytical or a numerical law of motion for the expanding radius of the SN. In the framework of conservation of energy for the thin layer approximation we present a classical trajectory based on a power law profile for the density, a relativistic trajectory based on the Navarro--Frenk--White profile for the density, and a relativistic trajectory based on a power law behaviour for the swept mass. A detailed simulation of the LC requires the evaluation of the optical depth as a function of time. We modeled the LC of SN~1993J in different astronomical bands, the LC of GRB 050814 and the LC GRB 060729 in the keV region. The time dependence of the magnetic field of equipartition is derived from the theoretical formula for the luminosity.
Highlights
The number of observational and theoretical analyses of the light curves (LCs) for supernovae (SN) has increased in recent years
Evolutionary models for the LC were introduced using the STELLA software application [5], the conversion of the kinetic energy of ejecta to radiation at the reverse and forward shocks was introduced in [6], the LC was modeled in the framework of the radioactive decay of 56Co, 57Co and 55Fe [7], the cosmological importance of the LC was analysed by [8], and PS15dpn was a luminous rapidly rising Type Ibn SN which was modeled in the framework of the circumstellar interaction (CSI) model plus 56Ni decay [9]
The Case of SN 1993J In this subsection we adopt a classical equation of motion with a power law profile of density, see Section 4
Summary
The number of observational and theoretical analyses of the light curves (LCs) for supernovae (SN) has increased in recent years. We list some of the recent treatments. The LC of the type Ia supernova 2018oh has an unusual two-component shape [1], the radio LC of SN 1998bw shows a double-peak profile, possibly associated with density variations in the circumstellar medium [2], the R-band LCs of 265 SNs from the Palomar Transient Factory are followed and a model-independent LC template is built from this data-set [3], SN 2007D
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