We use a particular machine learning approach, called the genetic algorithms (GAs), in order to place constraints on deviations from general relativity (GR) via a possible evolution of Newton’s constant μ=Geff/GN and of the dark energy anisotropic stress η, both defined to be equal to one in GR. Specifically, we use a plethora of background and linear-order perturbations data, such as Type Ia supernovae, baryon acoustic oscillations, cosmic chronometers, redshift space distortions, and Eg data. We find that although the GA is affected by the lower quality of the currently available data, especially from the Eg data, the reconstruction of Newton’s constant is consistent with a constant value within the errors. On the other hand, the anisotropic stress deviates strongly from unity due to the sparsity and the systematics of the Eg data. Finally, we also create synthetic data based on a next-generation survey and forecast the limits of any possible detection of deviations from GR. In particular, we use two fiducial models: one based on the cosmological constant ΛCDM model and another on a model with an evolving Newton’s constant, dubbed μCDM. We find that the GA reconstructions of μ(z) and η(z) can be constrained to within a few percent of the fiducial models and in the case of the μCDM mocks, they can also provide a strong detection of several σs, thus demonstrating the utility of the GA reconstruction approach.
If you use any of the above codes or the figures in a published work please cite the following paper:
Machine Learning Constraints on Deviations from General Relativity from the Large Scale Structure of the Universe.
George Alestas, Lavrentios Kazantzidis and Savvas Nesseris
Phys.Rev.D 106 (2022) 10, 10, arxiv:2209.12799.
Any further questions/comments are welcome.