A neural network is trained to solve the Einstein equations on a Dehn-filled hyperbolic three-manifold, cutting the equation residual to about a percent and serving as a proof-of-concept for machine-learning gravity compactifications.
Hyperbolic four-manifolds
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abstract
This is a short survey on finite-volume hyperbolic four-manifolds. We describe some general theorems and focus on the concrete examples that we found in the literature. The paper contains no new result.
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Machine Learning Gravity Compactifications on Negatively Curved Manifolds
A neural network is trained to solve the Einstein equations on a Dehn-filled hyperbolic three-manifold, cutting the equation residual to about a percent and serving as a proof-of-concept for machine-learning gravity compactifications.