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Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term

Pierre Binetruy·Christos Charmousis·Stephen C Davis·Jean-Francois Dufaux
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Abstract

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.

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Pierre Binetruy, Christos Charmousis, Stephen C Davis, Jean-Francois Dufaux. 2002-07-17. Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term. https://doi.org/10.1016/s0370-2693(02)02477-2

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