Gravitational Localization of All Local Fields on the Brane

Abstract

We present a new $(p-1)$-brane solution to Einstein's equations in a general space-time dimension. This solution is a natural generalization of the stringlike defect solution with codimension 2 in 6 space-time dimensions, which has been recently discovered by Gogberashvili and Singleton, to a general $(p-1)$-brane solution with codimension $n$ in general $D=p+n$ space-time dimensions. It is shown that all the local fields are localized on the brane only through the gravitational interaction although this solution does not have a warp factor and takes a finite value in the radial infinity. Thus, this solution is a solution in an arbitrary space-time dimension realizing the idea of "gravitational trapping" of the whole bulk fields on the brane within the framework of a local field theory. Some problems associated with this solution and localization are pointed out.

12 pages, no figures, Latex

Cited by in corpus (23)

• Fermion Generations from "Apple-Shaped" Extra Dimensions
• 6D thick branes from interacting scalar fields
• Nonsingular Increasing Gravitational Potential for the Brane in 6D
• Brane world corrections to Newton's law
• Frame-invariant approach to higher-dimensional scalar-tensor gravity
• Fermion localization on branes with generalized dynamics
• Braneworlds in six dimensions: new models with bulk scalars
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• Anti-de-Sitter Island-Universes from 5D Standing Waves
• Effects of temperature on thick branes and the fermion (quasi-)localization
• Brane world generation by matter and gravity
• Probing Brane-World Scenarios with Vacuum Refraction of Light Using Gamma-Ray Bursts
• Gravitational trapping potential with arbitrary extra dimensions
• Localization of scalar field on the brane-world by coupling with gravity
• Consistency Conditions for Fields Localization on Braneworlds
• Fermions on the brane in 6D with nonsingular exponential scale factors
• The stability and gravitational Newtonian limit of a modified Randall-Sundrum model
• A Solvable Model for Fermion Masses on a Warped 6D World with the Extra 2D Sphere
• Zero Modes of Matter Fields on Scalar Flat Thick Branes
• Brane solution with an increasing warp factor
• A non-standard matter distribution in the RS1 model and the coupling constant of the radion
• The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds
• Gravity in a warped 6D world with an extra 2D sphere