Working Paper Article Version 2 This version is not peer-reviewed

Late Time Sharp Transitions in an Embedded Universe

Version 1 : Received: 7 May 2019 / Approved: 8 May 2019 / Online: 8 May 2019 (11:39:29 CEST)
Version 2 : Received: 22 August 2019 / Approved: 22 August 2019 / Online: 22 August 2019 (10:27:49 CEST)
Version 3 : Received: 19 June 2020 / Approved: 19 June 2020 / Online: 19 June 2020 (08:38:18 CEST)

How to cite: Capistrano, A. Late Time Sharp Transitions in an Embedded Universe. Preprints 2019, 2019050097 Capistrano, A. Late Time Sharp Transitions in an Embedded Universe. Preprints 2019, 2019050097


Using a joint statistical analysis, we test a four-dimensional FLWR model embedded in a five-dimensional bulk based on the Nash-Greene embedding theorem. Performing a Markov Chain Monte Carlo (MCMC) modelling, we combine observational data sets as those of the recent Pantheon type Ia supernovae, Baryon Acoustic Oscillations (BAO) and the angular acoustic scale of the Cosmic Microwave Background (CMB) to impose restrictions on the model and correlating the model parameters to mimick an equation of state. From statistical classifiers as the Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC), we use the Jeffreys' scale and find a strong evidence favoring a statistically consistence with a dynamical Dark energy (CPL parameterization) and a relative consistence with both ΛCDM and ωCDM models. Moreover, we find that the transition redshift used as a cosmic discriminator with the best fit zt=0.634 ± 0.014 at 1-σ C.L. with a range scenario for late time sharp transitions.


modified Friedman equations, modified gravity, dark energy


Physical Sciences, Astronomy and Astrophysics

Comments (1)

Comment 1
Received: 22 August 2019
Commenter: Abraao Capistrano
Commenter's Conflict of Interests: Author
Comment: New results, new title, overall revision, typos corrected.
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