Inhomogeneous Generalization of Einstein's Static Universe with Sasakian Space
High Energy Physics - Theory
2022-03-23 v1 General Relativity and Quantum Cosmology
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 inhomogeneous number density of particles, are a generalization of Einstein's static universe. On some examples of explicit solutions, we discuss non-linear density contrast and deviation of the metric functions.
Keywords
Cite
@article{arxiv.2112.02782,
title = {Inhomogeneous Generalization of Einstein's Static Universe with Sasakian Space},
author = {Hideki Ishihara and Satsuki Matsuno},
journal= {arXiv preprint arXiv:2112.02782},
year = {2022}
}
Comments
13 pages, 1 figure