Locally Localized Gravity Models in Higher Dimensions

Abstract

We explore the possibility of generalizing the locally localized gravity model in five space-time dimensions to arbitrary higher dimensions. In a space-time with negative cosmological constant, there are essentially two kinds of higher-dimensional cousins which not only take an analytic form but also are free from the naked curvature singularity in a whole bulk space-time. One cousin is a trivial extension of five-dimensional model, while the other one is in essence in higher dimensions. One interesting observation is that in the latter model, only anti-de Sitter ($Ad{S}_p$) brane is physically meaningful whereas de Sitter ($d{S}_p$) and Minkowski ($M_p$) branes are dismissed. Moreover, for $Ad{S}_p$ brane in the latter model, we study the property of localization of various bulk fields on a single brane. In particular, it is shown that the presence of the brane cosmological constant enables bulk gauge field and massless fermions to confine to the brane only by a gravitational interaction. We find a novel relation between mass of brane gauge field and the brane cosmological constant.

20 pages, LaTex 2e, revised version (to appear in Phys. Rev. D)

Cited by in corpus (25)

• Consistency Conditions for Brane Worlds in Arbitrary Dimensions
• Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models
• Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
• Moduli stabilization in higher dimensional brane models
• Locally Localized Gravity and Geometric Transitions
• Localization of bulk matter fields, the hierarchy problem and corrections to Coulomb's law on a pure de Sitter thick braneworld
• Wightman function and vacuum fluctuations in higher dimensional brane models
• Completely localized gravity with higher curvature terms
• Thick branes with a nonminimally coupled bulk-scalar field
• Quantum self-consistency of $AdS\times \Sigma$ brane models
• Localization of Bulk Matters on a Thick Anti-de Sitter Brane
• Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models
• Gravitational Localization of All Local Fields on the Brane
• Bulk Fermions in Multi-Brane Worlds
• Universal spin-1/2 fermion field localization on a 5D braneworld
• Schwarzschild Black Branes and Strings in higher-dimensional Brane Worlds
• Coulomb's law corrections and fermion field localization in a tachyonic de Sitter thick braneworld
• Regularized braneworlds of arbitrary codimension
• Matter localization on brane-worlds generated by deformed defects
• Consistency Conditions for Fields Localization on Braneworlds
• Localizing gravity on Maxwell gauged CP1 model in six dimensions
• Cosmological Kaluza-Klein branes in black brane spacetimes
• Multi-Scale Physics from Multi-Braneworlds
• Zero Modes of Matter Fields on Scalar Flat Thick Branes
• Nonlinear wave propagation in large extra spatial dimensions and the blackbody thermal laws