Testing non-local gravity by clusters of galaxies

Abstract

Extended theories of gravity have been extensively investigated during the last thirty years, aiming at fixing infrared and ultraviolet shortcomings of General Relativity and of the associated $\Lambda$CDM cosmological model. Recently, non-local theories of gravity have drawn increasing attention due to their potential to ameliorate both the ultraviolet and infrared behavior of gravitational interaction. In particular, Integral Kernel theories of Gravity provide a viable mechanism to explain the late time cosmic acceleration so as to avoid the introduction of any form of unknown dark energy. On the other hand, these models represent a natural link towards quantum gravity. Here, we study a scalar-tensor equivalent model of General Relativity corrected with non-local terms, where corrections are selected by the existence of Noether symmetries. After performing the weak field limit and generalizing the results to extended mass distributions, we analyse the non-local model at galaxy cluster scales, by comparing the theoretical predictions with gravitational lensing observations from the CLASH program. We obtain agreement with data at the same level of statistical significance as General Relativity. We also provide constraints for the Navarro--Frenk--White parameters and lower bounds for the non-local length scales. The results are finally compared with those from the literature.

20 pages, 11 figures, 1 table. New version accepted for publication

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• Non-Local Gravity Wormholes
• Addressing Cosmological Tensions by Non-Local Gravity
• Can nonlocal gravity really explain dark energy?
• Apparent dark matter as a non-local manifestation of emergent gravity
• Cosmic voids and the kinetic analysis
• Cosmic voids and the kinetic analysis. III. Hubble tension and structure formation in the late Universe
• Structure Formation in Non-local Bouncing Models
• Cosmic voids and the kinetic analysis. II. Link to Hubble tension
• Cosmic voids and the kinetic analysis. IV. Hubble tension and the cosmological constant
• Local Limit of Nonlocal Gravity: Cosmological Perturbations
• Testing non-local gravity through Ultra-Diffuse Galaxies kinematics
• A Relativistic Tensorial Model for Fractional Interaction between Dark Matter and Gravity
• Uncertainty Principles and Non-local Black Holes