Gravitational trapping potential with arbitrary extra dimensions

Abstract

We extend a recently discovered, non-singular 6 dimensional brane, solution to D=4+n dimensions. As with the previous 6D solution the present solution provides a gravitational trapping mechanism for fields of spin 0, 1/2, 1 and 2. There is an important distinction between 2 extra dimensions and $n$ extra dimensions that makes this more than a trivial extension. In contrast to gravity in n >2 dimensions, gravity in n=2 dimensions is conformally flat. The stress-energy tensor required by this solution has reasonable physically properties, and for n=2 and n=3 can be made to asymptotically go to zero as one moves away from the brane.

7 pages revtex. No figures. References added some discussions changed

References in corpus (7)

• Spacetime as a membrane in higher dimensions
• Exact solutions in multidimensional gravity with antisymmetric forms
• Completely localized gravity with higher curvature terms
• Brane in 6D with increasing gravitational trapping potential
• Nonsingular Increasing Gravitational Potential for the Brane in 6D
• Localization of Fields on a Brane in Six Dimensions
• Gravitational Localization of All Local Fields on the Brane

Cited by in corpus (10)

• Thick brane solutions
• Modified Dispersion Relations in Horava-Lifshitz Gravity and Finsler Brane Models
• Fermion generations, masses and mixings in a 6D brane model
• Fermion localization on branes with generalized dynamics
• Finsler Branes and Quantum Gravity Phenomenology with Lorentz Symmetry Violations
• Thick de Sitter brane solutions in higher dimensions
• Field localization and Nambu Jona-Lasinio mass generation mechanism in an alternative 5-dimensional brane model
• Mass radius relation of compact stars in the braneworld
• Localization of Interacting Fields in Five-Dimensional Braneworld Models
• Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories