https://doi.org/10.1140/epjp/i2011-11118-5
Regular Article
A criterion for physically acceptable extra dimensions with boundaries
1
Department of Informatics and Communications, Technological Education Institute of Serres, 62124, Serres, Greece
2
Department of Theoretical Physics, Aristotle University of Thessaloniki, 541 24, Thessaloniki, Greece
* e-mail: voiko@physics.auth.gr
Received:
23
July
2011
Revised:
16
September
2011
Accepted:
6
October
2011
Published online:
9
December
2011
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.
© Società Italiana di Fisica and Springer, 2011
