Hiding a cosmological constant in a warped extra dimension

Physics – High Energy Physics

Scientific paper

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We present a scenario in which extra dimensions are used to address the cosmological constant problem. For a theory of gravity in 4+1 dimensions whose dynamics are governed by an effective action that includes quadratic terms in the curvature and a compact scalar field, the field equations admit solutions that are compact in one direction and Poincaré 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. We further discuss several features of this picture, including an example of a metric that localizes gravity to a hypersurface without including a brane as well as how to combine this approach with the Randall-Sundrum model. .

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