2001/10/16 by Jihn E. Kim, Bumseok Kyae, Hyun Min Lee
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.66.106004
published as Phys.Rev.D66:106004,2002 · Latex file of 18 pages including 1 eps figure
arxiv created 2001/10/16 · openalex publication_date 2002/11/21 · arxiv updated 2011/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider flat solutions in a brane world model with a massless scalar field appearing in 5D HMNPQ2. Since those solutions have naked bulk singularities or are such that the 4D Planck mass is divergent, we should have a compact extra dimension, the size of which is then fixed by brane tension(s) and the bulk cosmological constant. By inspecting scalar perturbations around the flat solutions, we find that there is no zero mode for the radion and radion modes have only positive masses. This result confirms the fact that the radius of the extra dimension cannot be adjusted independently of the parameters of the model, and thus that the model considered does not solve the problems encountered in other approaches to the self-tuning of the cosmological constant.