Extended datasamples under the lens of Brane World Theory

This work revises the Brane World Theory known as Randall Sundrum with the modification of an exponential, redshift-dependent brane tension. This model is studied in a scenario assuming no dark energy, with the aim of determining whether it can reproduce the Universe’s acceleration on its own, without the addition of a dark energy fluid. Bayesian Statistical analysis is performed in order to constrain the free parameters of each scenario for which the datasamples of SLS, SNIa, OHD and BAO are used, the last two considering newly added elements on the data. Both Planck and Riess priors for h are used and compared. In both cases we are able to reproduce the late-time accelerated expansion in agreement with observational data. Interesting consistencies at transition redshift z t with ΛCDM are found suggesting that this might be a suitable model for studying the evolution of the Universe up to present date, however, some pathologies are detected in this model, namely a ‘Big Rip’ divergence of H ( z ) at z = 1, as well as a strong relationship between the form of the functional for the brane tension and the future evolution of the Universe in this model.