Classical and Relativistic Models for Time Duration of Gamma-Ray Bursts  

作　　者：Lorenzo Zaninetti 

机构地区：[1]Department of Physics, University of Turin, Turin, Italy

出　　处：《Journal of High Energy Physics, Gravitation and Cosmology》2017年第4期808-827,共20页高能物理（英文）

摘　　要：A classical model based on a power law assumption for the radius-time relationship in the expansion of a supernova (SN) allows to derive an analytical expression for the flow of mechanical kinetic energy and the time duration of gamma-ray burst (GRB). A random process based on the ratio of two truncated lognormal distributions for luminosity and luminosity distance allows to derive the statistical distribution for time duration of GRBs. The high velocities involved in the first phase of expansion of a SN require a relativistic treatment. The circumstellar medium is assumed to follow a density profile of Plummer type with eta = 6. A series solution for the relativistic flow of kinetic energy allows to derive in a numerical way the duration time for GRBs. Here we analyze two cosmologies: the standard cosmology and the plasma cosmology.A classical model based on a power law assumption for the radius-time relationship in the expansion of a supernova (SN) allows to derive an analytical expression for the flow of mechanical kinetic energy and the time duration of gamma-ray burst (GRB). A random process based on the ratio of two truncated lognormal distributions for luminosity and luminosity distance allows to derive the statistical distribution for time duration of GRBs. The high velocities involved in the first phase of expansion of a SN require a relativistic treatment. The circumstellar medium is assumed to follow a density profile of Plummer type with eta = 6. A series solution for the relativistic flow of kinetic energy allows to derive in a numerical way the duration time for GRBs. Here we analyze two cosmologies: the standard cosmology and the plasma cosmology.

关 键 词：COSMOLOGY OBSERVATIONAL COSMOLOGY DISTANCES REDSHIFTS Radial VELOCITIES Spatial Distribution of Galaxies 

分 类 号：P1[天文地球—天文学]