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Compactification of Friedmann's Hyperbolic Model
Abstract
A compact hyperbolic three-manifold is substituted for the infinite space ${H}^{3}$, as space section of Friedmann's cosmological model of negative curvature. Some consequences are briefly analyzed. In particular it is shown that an apparent observational isotropy persists when the particle horizon intersects an anisotropic region of space.
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“An estimate of the probability of such event for the universe initially dominated by relativistic matter suggests that it should be suppressed by a factor of exp(-S) ∼ exp(-V -3/4 ) < e -10 9 , and the probability that not only the energy density but also the scalar field in such a universe will be sufficiently homogeneous may be even smaller [14].”
From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [13]
In the citing paper
“Inflation appears in a patch of a closed universe or of an infinite flat or open universe if this patch is sufficiently homogeneous and its size is greater than the size of the horizon, ∆l > ∼ H -1 ∼ V -1/2 (φ)/M p , where V (φ) is a flat inflationary potential.”
From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [13]
In the citing paper
“If we want the universe to survive until its energy density drops down to V (φ), its initial entropy should be greater than S ∼ V -3/4 .”
From Creation of a compact topologically nontrivial inflationary universe (2004) · cites this paper as [13]
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No references could be resolved yet.
Research works printed but not linked: 15
- O. Heckmann, 1959, Handbuch der Physik
- S. W. Hawking, 1973, The Large Scale Structure of the Universe, 10.1017/CBO9780511524646 · DOI · Paper page
- G. F. R. Ellis, 1971, Gen. Relativ. Gravit., 2, 7, 10.1007/BF02450512 · DOI
- H. V. Fagundes, 1982, Lett. Math. Phys., 6, 417, 10.1007/BF00405860 · DOI
- G. F. R. Ellis, 1978, Comments Astrophys., 8, 1
- G. F. R. Ellis, 1979, Gen. Relativ. Gravit., 11, 281, 10.1007/BF00759562 · DOI
- G. F. R. Ellis, 1979, Quant. J. Roy. Astron. Soc., 20, 37
- G. A. Tammann, 1980, Physical Cosmology
- J. A. Wheeler, 1964, Gravitation and Relativity
- L. A. Best, 1971, Can. J. Math., 23, 451, 10.4153/CJM-1971-048-9 · DOI
- H. S. M. Coxeter, 1965, Non-Euclidean Geometry, 10.3138/9781442653207 · DOI
- C. W. Misner, 1973, Gravitation
- F. Löbell, 1931, Ber. Verh. Saechs. Akad. Wiss. Leipzig, 83, 167
- E. R. Harrison, 1981, Cosmology: The Science of the Universe
- A. H. Guth, 1981, Phys. Rev. D, 23, 347, 10.1103/PhysRevD.23.347 · DOI · Paper page
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Sorted by citations
Creation of a compact topologically nontrivial inflationary universe
Linde, A. (2004) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2004/10/004 · Cited by 158
Metadata
- Authors
- Fagundes, H. V.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1983-08-08
- Volume
- 51
- Issue
- 6
- Pages
- 517-518
- ISSN
- 0031-9007
- Cited by
- 21
- References
- 0
- Language
- en
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