Blown-up p-Branes and the Cosmological Constant

Details Blown-up p-Branes and the Cosmological Constant Blown-up p-Branes and the Cosmological Constant

2003-04-07

arxiv.org/abs/hep-th/0304057v1

JCAP 0311 (2003) 013

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures

Scientific paper

10.1088/1475-7516/2003/11/013

We consider a blown-up 3-brane, with the resulting geometry R^(3,1) \times S^(N-1), in an infinite-volume bulk with N > 2 extra dimensions. The action on the brane includes both an Einstein term and a cosmological constant. Similar setups have been proposed both to reproduce 4-d gravity on the brane, and to solve the cosmological constant problem. Here we obtain a singularity-free solution to Einstein's equations everywhere in the bulk and on the brane, which allows us to address these question explicitely. One finds, however, that the proper volume of S^(N-1) and the cosmological constant on the brane have to be fine-tuned relatively to each other, thus the cosmological constant problem is not solved. Moreover the scalar propagator on the brane behaves 4-dimensionally over a phenomenologically acceptable range only if the warp factor on the brane is huge, which aggravates the Weak Scale - Planck Scale hierarchy problem.

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