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Brane World Sum Rules
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Brane World Sum Rules
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A set of consistency conditions is derived from Einstein equations for brane world scenarios with a spatially periodic internal space. In particular, the sum of the total tension of the flat branes and the non-negative integral of the gradient energy of the bulk scalars must vanish. This constraint allows us to make a simple consistency check of several models. We show that the two-brane Randall-Sundrum model satisfies this constraint, but it does not allow a generalization with smooth branes (domain walls), independently of the issue of supersymmetry. The Goldberger-Wise model of brane stabilization has to include the backreaction on the metric and the fine tuning of the cosmological constant to satisfy the constraints. We check that this is achieved in the DeWolfe-Freedman-Gubser-Karch scenario. Our constraints are automatically satisfied in supersymmetric brane world models.
Forward citations
Cited by 2 Pith papers
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The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds
In arbitrary-dimensional warped braneworlds, the derived local conditions leave only the free scalar and the NED model L(F)=b√F as consistent, localizable bulk fields.
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Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
Embedding of Ellis-Bronnikov wormhole and NED-sourced magnetic/dyonic black strings into RS braneworlds using Local Sum Rules; the dyonic q→0 limit is inconsistent as written.
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