Gravity Localization on Intersecting Thick Braneworlds

The localization of gravity for (5 + 1)-dimensional intersecting thick braneworld models is thoroughly investigated. Departing from preliminary results for five independent proposals, from I to V, gravity is shown to be localized in the brane. In particular, for models from I to III, only the zero modes are analytically determined. On the other hand, for models IV and V, massive modes are all obtained: a finite number of massive states is identified for model IV, while an infinite but discrete number of massive states bounded from below is exhibited by model V. Considering that the discreteness of the graviton modes implies that gravity does not propagate in the co-dimensions, the naked singularities of models IV and V, at edges of space, are made harmless. To conclude, the phenomenological implications for sphere models, constructed out of models III and IV, are also discussed. According to such an overall classification, if the internal space is a sphere, model IV is shown to exhibit normalizable modes. More relevantly, for the sphere model assembled out of model III, the subtle property of reproducing a consistent Newtonian limit is identified.