Late Time Sharp Transitions in an Embedded Universe

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 z_t=0.634 ± 0.014 at 1-σ C.L. with a range scenario for late time sharp transitions.