Blown-up p-branes and the cosmological constant
Abstract
We consider a blown-up 3-brane, with the resulting geometry R(3,1) × 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 set-ups have been proposed both to reproduce the 4D 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 explicitly. One finds, however, that the proper volume of S(N - 1) and the cosmological constant on the brane have to be fine-tuned relative to each other, thus the cosmological constant problem is not solved. Moreover the scalar propagator on the brane behaves four-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.
- Publication:
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Journal of Cosmology and Astroparticle Physics
- Pub Date:
- November 2003
- DOI:
- 10.1088/1475-7516/2003/11/013
- arXiv:
- arXiv:hep-th/0304057
- Bibcode:
- 2003JCAP...11..013E
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 21 pages, no figures