Timothy Janezic with Glenn Starkman
Numerical Solutions of the Gravitational Potential in 5H and 6H Dimensional Universes
Fields living in the universe can be decomposed into eigenmodes, determined by the geometry and topology. However, only the simplest cases can be done analytically. Attention has focused on these cases largely for that reason. An attempt will be made to numerically solve for the gravitational potential in 5+1 and 6+1 dimensional universes which factorize into 3+1 dimensional “ordinary spacetime” and 2 or 3d extra-dimensional manifolds, including manifold factors with curvature. These eignemodes will then be used to understand the physics of kaluza-klein degrees of freedom in universes with “large” extra dimensions.