Exploring the global topology of the universe

Fagundes, Helio V.

doi:10.1590/s0103-97332002000500012

Cited by 2 publications

(2 citation statements)

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“…As a final remark, I refer to applications of the compactness of cosmological space in my 2001 paper [14].…”

Section: Galaxy Associations With Discordant Redshifts As a Topologicmentioning

confidence: 99%

An Infinite Number of Closed FLRW Universes for Any Value of the Spatial Curvature

Fagundes

2012

Int. J. Mod. Phys. Conf. Ser.

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The Friedman-Lemaître-Robertson-Walker (FLRW) cosmological models are based on the assumptions of large-scale homogeneity and isotropy of the distribution of matter and energy. They are usually taken to have spatial sections that are simply connected; they have finite volume in the positive curvature case, and infinite volume in the null and negative curvature ones. I want to call the attention to the existence of an infinite number of models, which are based on these same metrics, but have compact, finite volume, multiply connected spatial sections. Some observational implications are briefly mentioned. I. Friedman-Lemaître-Robertson-Walker ModelsAs is well known, the Friedman-Lemaître Then I learned, from Efimov's Higher Geometry 3 [2], that the plane could be tessellated into a mosaic of regular, 4g-sided, hyperbolic polygons, where g ≥ 2; the tessellation (or 'honeycomb') is generated by a symmetry group such that

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“…As a final remark, I refer to applications of the compactness of cosmological space in my 2001 paper [14].…”

Section: Galaxy Associations With Discordant Redshifts As a Topologicmentioning

confidence: 99%

An Infinite Number of Closed FLRW Universes for Any Value of the Spatial Curvature

Fagundes

2012

Int. J. Mod. Phys. Conf. Ser.

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“…In his talk Helio V. Fagundes presented a brief introduction to cosmic topology in the context of FLRW models, and reviewed the work done by his group and collaborators at IFT/UNESP. The works he described range from early attempts to solve a controversy about quasars through the multiple images produced by nontrivial topologies, to more recent issues such as cosmic crystallography and on quantum cosmology in compact universe models (for more details on this talk see Fagundes' paper in this issue [14]).…”

Section: Plenary and Parallel Talksmentioning

confidence: 99%

Summary talk on Cosmology and Gravitation XXII Brazilian National Meeting on Particles and fields

Rebouças¹

2002

Braz. J. Phys.

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Exploring the global topology of the universe

Cited by 2 publications

References 25 publications

An Infinite Number of Closed FLRW Universes for Any Value of the Spatial Curvature

An Infinite Number of Closed FLRW Universes for Any Value of the Spatial Curvature

Summary talk on Cosmology and Gravitation XXII Brazilian National Meeting on Particles and fields

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