No go theorem for horizon-shielded self tuning singularities
Jul, 20017 pages
Published in:
- Phys.Rev.D 65 (2002) 043501
e-Print:
- hep-th/0107198 [hep-th]
Report number:
- MCGILL-00-18
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Abstract:
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.- 98.80.Cq
- membrane model
- cosmological constant
- space-time: singularity
- Gauss-Bonnet term
- dimension: 5
- symmetry: Z(2)
- Einstein equation
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