Classical Cosmology II. The Einstein Ring
Classical Cosmology II. The Einstein Ring作者机构：Physics Department Turin Italy
出 版 物：《Journal of High Energy Physics, Gravitation and Cosmology》 (高能物理（英文）)
年 卷 期：2024年第10卷第2期
页 面：574-598页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Cosmology Observational Cosmology Gravitational Lenses Luminous Arcs
摘 要：The Einstein ring is usually explained in the framework of the gravitational lens. Conversely here we apply the framework of the expansion of a superbubble (SB) in order to explain the spherical appearance of the ring. Two classical equations of motion for SBs are derived in the presence of a linear and a trigonometric decrease for density. A relativistic equation of motion with an inverse square dependence for the density is derived. The angular distance, adopting the minimax approximation, is derived for three relativistic cosmologies: the standard, the flat and the wCDM. We derive the relation between redshift and Euclidean distance, which allows fixing the radius of the Einstein ring. The details of the ring are explained by a simple version of the theory of images.
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