Brane bounce from logarithmic entropic corrections in the bulk

Abstract

We calculate new corrections to the braneworld dynamics, lying in a 5D Schwarzschild–de Sitter black hole, generalizing the result of Nojiri, Odintsov and Ogushi (NOO). The NOO entropy effect is based on the logarithmic correction to the bulk entropy firstly calculated by Mukherji and Pal. We calculate higher order contributions to the brane worldsheet. The extra terms obtained lead to interesting implications in brane cosmology. In particular, new entropic terms rapidly disappear in the late Universe while exploding in the very early Universe. In particular, we show that they may trigger a cosmological bounce in the very early Universe. On the other hand, they contribute to the cosmological expansion in the late Universe. We also discuss a scenario in which the BLK anisotropies are washed out, toward a new ekpyrotic brane cosmology.