The Cosmological Constant and Warped Extra Dimensions

Abstract

We study the behavior of a general gravitational action, including quadratic terms in the curvature, supplemented by a compact scalar field in 4+1 dimensions. The generalized Einstein equation for this system admits solutions which are compact in one direction and Poincare invariant in the remaining directions. These solutions do not require any fine-tuning of the parameters in the action---including the cosmological constant---only that they should satisfy some mild inequalities. Some of these inequalities can be expressed in a universal form that does not depend on the number of extra compact dimensions when the scenario is generalized beyond 4+1 dimensions.

19 pages, uses harvmac and pictex, contains 8 figures

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Cited by in corpus (20)

• Towards singularity and ghost free theories of gravity
• Warped brane-world compactification with Gauss-Bonnet term
• Cosmology and Fermion Confinement in a Scalar-Field-Generated Domain Wall Brane in Five Dimensions
• Solving the Hierarchy Problem without Supersymmetry or Extra Dimensions: An Alternative Approach
• No-Go Theorem for Horizon-Shielded Self-Tuning Singularities
• Strings, Branes and Extra Dimensions
• The Randall-Sundrum Scenario with an Extra Warped Dimension
• Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension
• $Z_N$ orbifold compactifications in $Ad{S}_6$ with Gauss-Bonnet term
• On the stability of field-theoretical regularizations of negative tension branes
• Ghosts and Tachyons in the Fifth Dimension
• Wave function of the radion in the brane background with a massless scalar field and a self-tuning problem
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Matter in a Warped and Oscillating Background
• Various Types of Five-Dimensional Warp Factor and Effective Planck Scale
• Five-Dimensional Warped Geometry with a Bulk Scalar Field
• A weak instability in an expanding universe?
• On Adler-Bell-Jackiw Anomaly in 3-brane Scenario
• The cosmological constant and oscillating metrics
• Simple Brane World Scenario with Positive Five Dimensional Cosmological Constant