Numerical Solutions of the Gravitational Potential in 5H and 6H Dimensional Universes

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.

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