Abstract
We study the stabilization of the inter-brane spacing modulus of generalized warped brane models with a nonzero brane cosmological constant. Employing the Goldberger-Wise stabilization prescription of braneworld models with a bulk scalar field, we show that the stabilized value of the modulus generally depends on the value of the brane cosmological constant. Our result further reveals that the stabilized modulus value corresponding to a vanishingly small cosmological constant can only resolve the gauge hierarchy problem simultaneously. This in turn vindicates the original Randall-Sundrum model, where the 3-brane cosmological constant was chosen to be zero.
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