Cosmologia em mundos brana através da gravidade de Rastall

Abstract

The present work studies cosmological solutions in Randall-Sundrum type brane models. It also investigates some thick brane models in Minkowski and de Sitter spacetimes, elucidating the physical and mathematical implications that arise when considering Rastall gravity. At this point, aspects of Hubble expansion in the presence of an extra dimension are addressed, given a five-dimensional Friedmann-Lemaître-Robertson-Walker (FLRW) type cosmological model. In this way, it becomes necessary, in a first approach, to analyze the aforementioned models without taking into account the scale factor, to later add it to the metric ansatz. In this context, it is highlighted that an exponential nature of the scale factor expansion emerges as a characteristic independent of the number of extra dimensions, and furthermore, the results indicate that Rastall gravity can provide alternative mechanisms for cosmic acceleration, even in the absence of conventional dark energy.