Metric Fluctuations in Brane Worlds

Abstract

Recently a realization of the four-dimensional gravity on a brane in five-dimensional spacetime has been discussed. Randall and Sundrum have shown that the equation for the longitudinal components of the metric fluctuations admit a normalizable zero mode solution, which has been interpreted as the localized gravity on the brane. We point out that the equation for the transverse components of the metric fluctuations has a solutions which is not localized on the brane. This indicates that probably the effective theory is unstable or, in other words, actually it is not four-dimensional but five-dimensional. Perhaps a modification of the proposal by using matter fields can lead to the trapping of gravity to the brane.

6 pages, LaTeX, Missed term in eq.(15) is added, which does not change the result

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Cited by in corpus (11)

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• Consistent Linearized Gravity in Brane Backgrounds
• Geodesics and Newton's Law in Brane Backgrounds
• Linearized Gravity about a Brane
• Schwarzschild black hole in the dilatonic domain wall
• Linearized Gravity in Isotropic Coordinates in the Brane World
• Solitons in Brane Worlds II
• Quintessence and Brane world scenarios
• Comment on "Metric Fluctuations in Brane Worlds"
• A Note on Solitons in Brane Worlds
• Stability of the GRS Model