A Criterion for Physically Acceptable Extra Dimensions with Boundaries
High Energy Physics - Theory
2011-12-08 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We present a criterion for deciding which compact extra dimensional spaces yield physically reliable Newton's law corrections. We study compact manifolds with boundary and without boundary. The boundary conditions which we use on the boundaries are Dirichlet or Neumann. We find that compact connected Riemannian manifolds with Dirichlet boundaries are completely excluded as extra dimensional spaces.
Cite
@article{arxiv.1102.3665,
title = {A Criterion for Physically Acceptable Extra Dimensions with Boundaries},
author = {V. K. Oikonomou},
journal= {arXiv preprint arXiv:1102.3665},
year = {2011}
}
Comments
Revised version, references added, to appear in EPJP