Paper ID: 2201.01644

Machine-Learning the Classification of Spacetimes

Yang-Hui He, Juan Manuel Pérez Ipiña

On the long-established classification problems in general relativity we take a novel perspective by adopting fruitful techniques from machine learning and modern data-science. In particular, we model Petrov's classification of spacetimes, and show that a feed-forward neural network can achieve high degree of success. We also show how data visualization techniques with dimensionality reduction can help analyze the underlying patterns in the structure of the different types of spacetimes.

Submitted: Jan 5, 2022