Scalar potential from de Sitter brane in 5D and effective cosmological constant

Abstract

We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant $\Lambda$. The scalar potential for a scalar field canonically normalized is given by the sum of exponential potentials. In the case of $\Lambda =0$ and $\Lambda >0$, we point out that the scalar potential has an unstable local maximum at the origin and exponentially vanishes for large positive scalar field. In the case of $\Lambda <0$, the scalar potential has an unstable local maximum at the origin and a stable local minimum, it is shown that the positive cosmological constant in brane is reduced by negative potential energy of scalar at minimum.

14 pages, 5 figures, add the section of cosmological implications

References in corpus (11)

• Brane cosmology: an introduction
• Cosmology With Negative Potentials
• Supergravity, Dark Energy and the Fate of the Universe
• Gauged Supergravities, de Sitter Space and Cosmology
• Dark Energy and the Fate of the Universe
• Newton's law in braneworlds with an infinite extra dimension
• Graviton localization and Newton law for a dS_4 brane in 5D bulk
• Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension
• Correction terms to Newton law due to induced gravity in AdS background
• Localized gravity on de Sitter brane in five dimensions
• Quintessence and Brane world scenarios

Cited by in corpus (3)

• Radion effective theory in the detuned Randall-Sundrum model
• Cosmological Constant of the $(p+1)$-Dimensional World, Embedded in the $d$-Dimensional Bulk Space
• Curvature in Special Base Conformal Warped Products