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29 March 2024
 
  » arxiv » hep-th/0007029

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Dynamical Instability of Brane Solutions with a Self-Tuning Cosmological Constant
P. Binetruy ; J.M. Cline ; C. Grojean ;
Date 4 Jul 2000
Journal Phys.Lett. B489 (2000) 403-410
Subject hep-th gr-qc hep-ph
AbstractA five-dimensional solution to Einstein’s equations coupled to a scalar field has been proposed as a partial solution to the cosmological constant problem: the effect of arbitrary vacuum energy (tension) of a 3-brane is cancelled; however, the scalar field becomes singular at some finite proper distance in the extra dimension. We show that in the original model with a vanishing bulk potential for the scalar, the solution is a saddle point which is unstable to expansion or contraction of the brane world. We construct exact time-dependent solutions which generalize the static solution, and demonstrate that they do not conserve energy on the brane; thus they do not have an effective 4-D field theoretic description. When a bulk scalar field potential is added, the boundary conditions on the brane cannot be trivially satisfied, raising hope that the self-tuning mechanism may still give some insight into the cosmological constant problem in this case.
Source arXiv, hep-th/0007029
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