Comment on "Metric Fluctuations in Brane Worlds"

Abstract

Recently, Ivanov and Volovich (hep-th/9912242) claimed that the perturbation of hμ with nonvanishing transverse components h5μ is not localized on the brane because hμ depends on the fifth coordinate z linearly. Consequently, it may indicate that the effective theory is unstable. However, we point out that such linear dependence on z can be gauged away. Hence the solution does not belong to the physical one. Therefore, even if one includes h5μ, Randall and Sundrum's argument for the localized gravity on the brane remains correct.

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