Inhomogeneous generalization of Einstein’s static universe with Sasakian space

• Published in: Progress of theoretical and experimental physics Vol. 2022; no. 2
• Main Authors: Ishihara, Hideki, Matsuno, Satsuki
• Format: Journal Article
• Language: English
• Published: Oxford Oxford University Press 01.02.2022
• Subjects: Universe; E01

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...