No-Go Theorem for Horizon-Shielded Self-Tuning Singularities

Details No-Go Theorem for Horizon-Shielded Self-Tuning Singularities No-Go Theorem for Horizon-Shielded Self-Tuning Singularities

2001-07-23

arxiv.org/abs/hep-th/0107198v2

Phys.Rev. D65 (2002) 043501

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 4 figures, revtex; added reference and minor corrections

Scientific paper

10.1103/PhysRevD.65.043501

We derive a simple no-go theorem relating to self-tuning solutions to the cosmological constant for observers on a brane, which rely on a singularity in an extra dimension. The theorem shows that it is impossible to shield the singularity from the brane by a horizon, unless the positive energy condition (rho+p >= 0) is violated in the bulk or on the brane. The result holds regardless of the kinds of fields which are introduced in the bulk or on the brane, whether Z_2 symmetry is imposed at the brane, or whether higher derivative terms of the Gauss-Bonnet form are added to the gravitational part of the action. However, the no-go theorem can be evaded if the three-brane has spatial curvature. We discuss explicit realizations of such solutions which have both self-tuning and a horizon shielding the singularity.

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