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

• 作者: Lorenzo Zaninetti
• 来源期刊: 高能物理(英文)
• 学科: 地球科学
• 关键词: COSMOLOGY OBSERVATIONAL COSMOLOGY Distances REDSHIFTS Radial VELOCITIES Spatial Distribution of GALAXIES
• 年，卷（期）: gnwlyw_2017,（4）
• 页码范围: 808-827
• 页数: 20页
• 分类号: P1

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.