Brane localization of gravity in higher derivative theory

Abstract

We consider a class of higher order corrections in the form of Euler densities of arbitrary rank $n$ to the standard gravity action in $D$ dimensions. We have previously shown that this class of corrections allows for domain wall solutions despite the presence of higher powers of the curvature. In the present paper we explicitly solve the linearized equation of motion for gravity fluctuations around the domain wall background and show that there always exist one massless state (graviton) propagating on the wall and a continuous tower of massive states propagating in the bulk.

14 pages, Latex

References in corpus (4)

• Localized gravity and mass hierarchy in D=6 with the Gauss-Bonnet term
• Static dilaton solutions and singularities in six dimensional warped compactification with higher derivatives
• Brane Worlds, String Cosmology, and AdS/CFT
• The M2-brane Solution of Heterotic M-theory with the Gauss-Bonnet R^2 terms

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