Quintessence and Brane world scenarios

Abstract

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.

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

References in corpus (4)

• Quantum Gravity In De Sitter Space
• Cosmological Evolution on Self-Tuned Branes and the Cosmological Constant
• Holographic Cosmic Quintessence on Dilatonic Brane World
• Exponential Quintessence and the End of Acceleration

Cited by in corpus (5)

• Brane World Cosmology with Gauss-Bonnet Interaction
• Late-time acceleration and Phantom Divide Line Crossing with Non-minimal Coupling and Lorentz Invariance Violation
• Bouncing Universe with a Nonminimally Coupled Scalar Field on a Moving Domain Wall
• Scalar potential from de Sitter brane in 5D and effective cosmological constant
• A note on supergravity inflation in braneworld