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Non-local gravity and comparison with observational datasets. II. Updated results and Bayesian model comparison with ΛCDM

Yves Dirian, Stefano Foffa, Martin Kunz, Michele Maggiore, Valeria Pettorino

10/2/16 Published in : arXiv:1602.03558

We present a comprehensive and updated comparison with cosmological observations of two non-local modifications of gravity previously introduced by our group, the so called RR and RT models. We implement the background evolution and the cosmological perturbations of the models in a modified Boltzmann code, using CLASS. We then test the non-local models against the Planck 2015 TT, TE, EE and Cosmic Microwave Background (CMB) lensing data, isotropic and anisotropic Baryonic Acoustic Oscillations (BAO) data, JLA supernovae, H0 measurements and growth rate data, and we perform Bayesian parameter estimation. We then compare the RR, RT and ΛCDM models, using the Savage-Dickey method. We find that the RT model and ΛCDM perform equally well, while the RR model is disfavored.

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  • Field Theory

Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings

Scattering theory for Lindblad master equations

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