Wave function of the radion in the brane background with a massless scalar field and a self-tuning problem

Abstract

We consider flat solutions in the brane background with a massless scalar field appearing in 5D $H_{MNPQ}^2$. Since there exist bulk singularities or arises the divergent 4D Planck mass, we should introduce a compact extra dimension, the size of which is then fixed by brane tension(s) and a bulk cosmological constant. Inspecting scalar perturbations around the flat solutions, we find that the flat solutions are stable vacua from the positive mass spectrum of radion. We show that the massless radion mode is projected out by the boundary condition arising in cutting off the extra dimension. Thus, the fixed extra dimension is not alterable, which is not useful toward a self-tuning of the cosmological constant.

Latex file of 18 pages including 1 eps figure

References in corpus (8)

• Gauge-invariant fluctuations of scalar branes
• Brane World Sum Rules
• Brane World Models With Bulk Scalar Fields
• The radion in brane cosmology
• Wave Function of the Radion in the dS and AdS Brane Worlds
• Self-tuning solution of the cosmological constant problem with antisymmetric tensor field
• Radion in Multibrane World
• A Brane World Perspective on the Cosmological Constant and the Hierarchy Problems

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• GUT Scale And Leptogenesis From 5D Inflation
• Einstein Gravity on a Brane in 5D Non-compact Flat Spacetime -DGP model revisited-
• Brane gravity, massless bulk scalar and self-tuning of the cosmological constant
• Inflation and Leptogenesis in Five Dimensional SO(10)