Evolution of Density Parameters on a Smooth Embedded Universe

In this paper we examine the evolution of cosmic density parameters in a four‐dimensional space‐time embedded in a five‐dimensional bulk space. We show that the extrinsic curvature is an independent spin‐2 field governed by the Gupta equations. Without evoking a dark energy fluid, the corresponding...

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Bibliographic Details
Published inAnnalen der Physik Vol. 530; no. 1
Main Author Capistrano, Abraão J.S.
Format Journal Article
LanguageEnglish
Published Weinheim Wiley Subscription Services, Inc 01.01.2018
Subjects
Astrophysics
Baryons
Big Bang theory
Bulk density
coincidence problem
cosmic density parameters
Cosmic microwave background
Curvature
Dark energy
embeddings
Evolution
gravity
Mathematical models
Universe
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Summary:In this paper we examine the evolution of cosmic density parameters in a four‐dimensional space‐time embedded in a five‐dimensional bulk space. We show that the extrinsic curvature is an independent spin‐2 field governed by the Gupta equations. Without evoking a dark energy fluid, the corresponding cosmological model is compared with the phenomenological XCDM model and shows a good concordance with recent cosmological datasets from Planck Collaboration and the latest Baryons Acoustic Oscillations/Cosmic Microwave Background (BAO/CMBR) + SNIa studying the evolution of density parameters. In addition, a discussion on the coincidence problem is also proposed. In this paper we examine the evolution of cosmic density parameters in a four‐dimensional space‐time embedded in a five‐dimensional bulk space. We show that the extrinsic curvature is an independent spin‐2 field governed by the Gupta equations. Without evoking a dark energy fluid, the corresponding cosmological model is compared with the phenomenological XCDM model and shows a good concordance with recent cosmological datasets from Planck Collaboration and the latest Baryons Acoustic Oscillations/Cosmic Microwave Background (BAO/CMBR) + SNIa studying the evolution of density parameters. In addition, a discussion on the coincidence problem is also proposed.
ISSN:0003-3804
1521-3889
DOI:10.1002/andp.201700232