The Cosmological Constant and Warped Extra Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, uses harvmac and pictex, contains 8 figures

Scientific paper

10.1103/PhysRevD.63.084020

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.

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