Quintessence and Brane world scenarios

Details Quintessence and Brane world scenarios Quintessence and Brane world scenarios

2001-07-09

arxiv.org/abs/hep-th/0107065v3

Mod.Phys.Lett. A16 (2001) 2187-2196

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, some ambiguity in mathematical expressions corrected and references added

Scientific paper

10.1142/S0217732301005527

We discuss the possibility of quintessence in the dilatonic domain walls including the Randall-Sundrum brane world. We obtain the zero mode effective action for gravitating objects in the dilatonic domain wall. First we consider the four dimensional (4D) gravity and the Brans-Dicke graviscalar with a potential. This can be further rewritten as a minimally coupled scalar with the Liouville-type potential in the Einstein frame. However this model fails to induce the quintessence on the dilatonic domain wall because the potential is negative. Second we consider the 4D gravity with the dilaton. In this case we find also a negative potential. Any negative potential gives us negative energy density and positive pressure, which does not lead to an accelerating universe. Consequently it turns out that the zero mode approach of the dilatonic domain wall cannot accommodate the quintessence in cosmology.

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