Gravity Localization and Effective Newtonian Potential for Bent Thick Branes

preprint2012arXivOpen access

Abstract

In this letter, we first investigate the gravity localization and mass spectrum of gravity KK modes on de Sitter and Anti-de Sitter thick branes. Then, the effective Newtonian gravitational potentials for these bent branes are discussed by the two typical examples. The corrections of the Newtonian potential turns out to be ΔU(r)∼1/r2ΔU(r)\sim 1/r^{2} at small rr for both cases. These corrections are very different from that of the Randall-Sundrum brane model ΔU(r)∼1/r3ΔU(r)\sim 1/r^{3}.

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