Naked Singularity and Gauss-Bonnet Term in Brane World Scenarios

Details Naked Singularity and Gauss-Bonnet Term in Brane World Scenarios Naked Singularity and Gauss-Bonnet Term in Brane World Scenarios

2000-04-17

arxiv.org/abs/hep-th/0004124v4

Nucl.Phys. B585 (2000) 395-404

Physics

High Energy Physics

High Energy Physics - Theory

14 pages; minor changes

Scientific paper

10.1016/S0550-3213(00)00352-7

We add a Gauss-Bonnet term to the Einstein-Hilbert action and study the recent proposal to solve the cosmological constant problem. We also consider the possibility of adding a dilaton potential to the action. In the absence of supersymmetry, we obtain first order Bogomol'nyi equation as a solution-generating method in our scenario. When the coefficient of the Gauss-Bonnet term is positive, the dilaton potential is bounded below. Assuming a simple double-well potential, the dilaton field is found to be a kink in the fifth dimension.

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