We investigate the localization of a massive scalar for both dS and AdS branes, where the scalar mass is varied from the massive-particle region to the tachyon region. We find that the eigenmass m of the localized mode satisfies a simple relation m2 = cM2 with a positive constant c for the dS brane, and m2 = c1M2 + CM2 with positive constants c1 and c2 for the AdS brane. We discuss the relation of these results to the stability of the brane and also some cosmological problems.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)