On Separation between Metric Observers in Segal’s Compact Cosmos

• 作者: Alexander Levichev Andrey Palyanov
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: SEPARATION BETWEEN SPACETIMES Segal’s Universal COSMOS CONFORMAL Group Action on U(2) DLF-Theory
• 年，卷（期）: 2015,（14）
• 页码范围: 2040-2049
• 页数: 10页
• 分类号: O1

摘要

A certain class K of GR homogeneous spacetimes is considered. For each pair E, ?of spacetimes from K, ?where conformal transformation g is from . Each E (being ?or its double cover, as a manifold) is interpreted as related to an observer in Segal’s universal cosmos. The definition of separation d between E and ?is based on the integration of the conformal factor of the transformation g. The integration is carried out separately over each region where the conformal factor is no less than 1 (or no greater than 1). Certain properties of ?are proven;examples are considered;and possible directions of further research are indicated.