Physics
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ijtp...29..521c&link_type=abstract
International Journal of Theoretical Physics, Volume 29, Issue 5, pp.521-536
Physics
Scientific paper
The Einstein universe is a simple model describing a static cosmological spacetime, having a constant radius and a constant curvature, and, as is well known, it does not describe our universe. We propose a model which is an extension of Einstein's. Our metric, having R × S 3 topology, describes a nonisotropic homogeneous closed (finite) universe of Bianchi type IX. This metric is similar to that of Taub, but is simpler. Unlike the Taub solution (which is a cosmological extension of the NUT solution), however, the universe described by our metric contains matter. Like the Taub metric, our metric has two positive constants ( τ, T). The gravitational red shift calculated from our metric is given. Similarly to the Schwarzschild metric, which has a “singularity” at r = 2m, this metric has the same kind of “singularity” at t = 2τ. The maximal extension of the coordinates in our metric is fairly analogous to that of the Schwarzschild metric.
Carmeli Moshe
Manor Rotem
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