Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
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We consider, in 5 dimensions, the low energy effective action induced by heterotic string theory including the leading stringy correction of order alpha'. In the presence of a single positive tension flat brane, and an infinite extra dimension, we present a particular class of solutions with finite 4-dimensional Planck scale and no naked singularity. A ``self-tuning'' mechanism for relaxing the cosmological constant on the brane, without a drastic fine tuning of parameters, is discussed in this context. Our solutions are distinct from the standard self-tuning solutions discussed in the context of vanishing quantum corrections in alpha', and become singular in this limit.
9 pages, 1 figure, discussion of self-tuning changed
9 pages, 1 figure, discussion of self-tuning changed