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On Separation between Metric Observers in Segal’s Compact Cosmos
Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia
A. P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk, Russia
- 1 Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia
- 2 A. P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk, Russia
Journal of Modern Physics·Volume 06 (2015)·Pages 2040–2049·Published 5 November 2015·DOI10.4236/jmp.2015.614210
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Abstract
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.
KeywordsSeparation between SpacetimesSegal’s Universal CosmosConformal Group Action on U(2)DLF-Theory
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