Stochastic Averaging of The Einstein Vacuum Equations on a Toroidal Manifold with Randomly Perturbed Radial Moduli: Stability Criteria and Induced 'Cosmological Constant' Terms

Steven D Miller

The Einstein vacuum equations on an (n+1)-dimensional toroidal manifold ${\mathbb{M}}^{n+1}={\mathbb{T}}^n\times {\mathbb{R}}^{+}$ reduce to a system of n-dimensional nonlinear ODEs in…