The Cosmological Constant Problem from a Brane-World Perspective

Abstract

We point out several subtleties arising in brane-world scenarios of cosmological constant cancellation. We show that solutions with curvature singularities are inconsistent, unless the contribution to the effective four-dimentional cosmological constant of the physics that resolves the singularities is fine-tuned. This holds for both flat and curved branes. Irrespective of this problem, we then study an isolated class of flat solutions in models where a bulk scalar field with a vanishing potential couples to a 3-brane. We give an example where the introduction of a bulk scalar potential results in a nonzero cosmological constant. Finally we comment on the stability of classical solutions of the brane system with respect to quantum corrections.

20 pages, LaTeX; minor corrections and a reference added

References in corpus (12)

• Self-tuning flat domain walls in 5d gravity and string theory
• RG-Flow, Gravity and the Cosmological Constant
• An Early Proposal of "Brane World"
• A Critical Cosmological Constant from Millimeter Extra Dimensions
• A Comment on Self-Tuning and Vanishing Cosmological Constant in the Brane World
• The Cosmological Constant From The Viewpoint Of String Theory
• Bounds on curved domain walls in 5d gravity
• Curvature Singularities: the Good, the Bad, and the Naked
• Brane World Scenarios and the Cosmological Constant
• Self-tuning in an Outgoing Brane Wave Model
• AdS_5 and the 4D Cosmological Constant
• Adding Matter to Poincare Invariant Branes

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