TL;DR
This paper investigates cosmological solutions in dilatonic brane world models, analyzing effective four-dimensional equations and the conditions needed to recover standard Friedmann cosmology in different brane configurations.
Contribution
It provides a detailed analysis of cosmological equations in dilatonic brane models, highlighting the role of radion potential in reproducing correct Friedmann dynamics.
Findings
Standard Friedmann equations are recovered at leading order for single-brane models.
Radion potential is necessary for correct Friedmann equations in two-brane models.
Dilatonic effects modify cosmological dynamics compared to non-dilatonic cases.
Abstract
We study cosmological solutions in the dilatonic brane world models. The effective four-dimensional equations on the brane are analyzed for the models with one positive tension brane and two branes with tensions of opposite signs. Just as in the non-dilatonic brane case, the conventional Friedmann equations of the four-dimensional universe are reproduced to the leading order in matter energy density for the model with one brane and the introduction of a radion potential is required in order to reproduce the Friedmann equations with the correct sign for the model with two branes.
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