Constraints on cosmokinetics of smooth deformations

We study the possibility that Universe is subjected to a deformation, besides its expansion described by Friedmann's equations. The concept of smooth deformation of a riemannian manifold associated with the extrinsic curvature is applied to the standard Friedmann–Lemaître–Robertson–Walker cosmo...

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Bibliographic Details
Published inMonthly notices of the Royal Astronomical Society Vol. 448; no. 2; pp. 1232 - 1239
Main Author Capistrano, Abraão J. S.
Format Journal Article
LanguageEnglish
Published London Oxford University Press 01.04.2015
Subjects
Astronomical models
Cosmic microwave background
Cosmic microwave background temperature
Cosmology
Curvature
Deformation
Mathematical analysis
Mathematical models
Oscillations
Red shift
Supernovae
Supernovas
gravitation
dark energy
cosmological parameters
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Summary:We study the possibility that Universe is subjected to a deformation, besides its expansion described by Friedmann's equations. The concept of smooth deformation of a riemannian manifold associated with the extrinsic curvature is applied to the standard Friedmann–Lemaître–Robertson–Walker cosmology. Starting from the resulting modified Friedman's equation we study two possible solutions with six models for each one in low redshift. In order to constrain the models, we calculate the main cosmic parameters (Hubble parameter H(z), deceleration parameter q(z) and jerk parameter j(z)) compared with different data sets as the latest Baryons Acoustic Oscillations/Cosmic Microwave Background + SNla constraints, SuperNova Legacy Survey Type Ia supernova (SNIa), X-ray galaxy clusters and the gold sample (SNIa). As a result, we obtain a set of proper models compatible with the current observational data.
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ISSN:0035-8711
1365-2966
DOI:10.1093/mnras/stv052