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, havingR × 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” atr = 2m, this metric has the same kind of “singularity” att = 2τ. The maximal extension of the coordinates in our metric is fairly analogous to that of the Schwarzschild metric.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Carmeli, M. (1977).Group Theory and General Relativity, McGraw-Hill, New York.
Carmeli, M. (1982).Classical Fields: General Relativity and Gauge Theory, Wiley, New York.
Carmeli, M., and Charach, Ch. (1984).Foundations of Physics,14, 963.
Carmeli, M., Charach, Ch., and Feinstein, A. (1983).Annals of Physics,150, 392.
Carmeli, M., Charach, Ch., and Malin, S. (1981).Physics Reports,76, 79.
Goldstein, H. (1965).Classical Mechanics, Addison-Wesley, Reading, Massachusetts.
Guth, A. H. (1981).Physical Review D,23, 347.
Landau, L. D., and Lifshitz, E. M. (1975).The Classical Theory of Fields, Pergamon, Oxford.
Linde, A. D. (1982).Physics Letters B,108, 389.
MacCallum, M. A. H. (1979). Anisotropic and inhomogeneous cosmologies, inGeneral Relativity, S. W. Hawking and W. Israel, eds., Cambridge University Press, Cambridge.
MacCallum, M. A. H. (1984). InSolutions of Einstein Equations: Techniques and Results, C. Hoenselaers and W. Dietz, eds., Springer-Verlag, Berlin.
Misner, C. W. (1969).Physical Review Letters,22, 1071.
Misner, C. W. (1970). Classical and quantum dynamics of a closed universe, inRelativity, M. Carmeli, S. I. Fickler, and L. Witten, eds., Plenum Press, New York.
Newman, E. T., Tamburino, L., and Unti, T. (1963).Journal of Mathematical Physics,9, 915.
Ozsvàth, I., and Schücking, E. L. (1969).Annals of Physics,55, 166.
Ryan, M. P., and Shepley, L. C. (1975).Homogeneous Relativistic Cosmologies, Princeton University Press, Princeton, New Jersey.
Taub, A. H. (1951).Annals of Mathematics,53, 472.
Weinberg, S. (1972).Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley, New York.
About this article
Cite this article
Carmeli, M., Manor, R. Nonvacuum taub-type cosmological model. Int J Theor Phys 29, 521–536 (1990). https://doi.org/10.1007/BF00673941
- Field Theory
- Elementary Particle
- Simple Model
- Quantum Field Theory
- Positive Constant