Tachyonic perturbations in AdS$_5$ orbifolds

Details Tachyonic perturbations in AdS$_5$ orbifolds Tachyonic perturbations in AdS$_5$ orbifolds

2004-09-28

arxiv.org/abs/hep-th/0409287v2

Phys.Rev. D71 (2005) 064022

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, matches published version

Scientific paper

10.1103/PhysRevD.71.064022

We show that scalar as well as vector and tensor metric perturbations in the Randall-Sundrum II braneworld allow normalizable tachyonic modes, i.e., possible instabilities. These instabilities require nonvanishing initial anisotropic stresses on the brane. We show with a specific example that within the Randall-Sundrum II model, even though the tachyonic modes are excited, no instability develops. We argue, however, that in the cosmological context instabilities might in principle be present. We conjecture that the tachyonic modes are due to the singularity of the orbifold construction. We illustrate this with a simple but explicit toy model.

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