Inhomogeneous generalization of Einstein’s static universe with Sasakian space

Abstract We construct exact static inhomogeneous solutions to Einstein’s equations  with counter flow of particle fluid and a positive cosmological constant by using the Sasaki metrics on three-dimensional spaces. The solutions, which admit an arbitrary function that denotes the inhomogeneous number...

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Bibliographic Details
Published inProgress of theoretical and experimental physics Vol. 2022; no. 2
Main Authors Ishihara, Hideki, Matsuno, Satsuki
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.02.2022
Subjects
Universe
E01
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Summary:Abstract We construct exact static inhomogeneous solutions to Einstein’s equations  with counter flow of particle fluid and a positive cosmological constant by using the Sasaki metrics on three-dimensional spaces. The solutions, which admit an arbitrary function that denotes the inhomogeneous number density of particles, are a generalization of Einstein’s static universe. For some examples of explicit solutions, we discuss non-linear density contrast and deviation of the metric functions.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptac013