Brane cosmology from observational surveys and its comparison with standard FRW cosmology

TL;DR

This paper investigates brane cosmology models using recent observational data, compares them with standard FRW cosmology, and provides formulas for testing these models to identify deviations from the standard model.

Contribution

It introduces a method to constrain brane cosmology models with observational data and links these models to Loop Quantum Cosmology through state-finder parameters.

Findings

Brane models show potential deviations from standard cosmology.

Observational data constrains brane model parameters effectively.

Formulas for state-finder parameters facilitate testing of cosmological models.

Abstract

Several dark energy models on the brane are investigated. They are compared with corresponding theories in the frame of 4d Friedmann-Robertson-Walker cosmology. To constrain the parameters of the models considered, recent observational data, including SNIa apparent magnitude measurements, baryon acoustic oscillation results, Hubble parameter evolution data and matter density perturbations are used. Explicit formulas of the so-called {\it state-finder} parameters in teleparallel theories are obtained that could be useful to test these models and to establish a link between Loop Quantum Cosmology and Brane Cosmology. It is concluded that a joint analysis as the one developed here allows to estimate, in a very convenient way, possible deviation of the real universe cosmology from the standard Friedmann-Robertson-Walker one.