On the universality of MOG weak field approximation at galaxy cluster scale

Abstract

In its weak field limit, Scalar-tensor-vector gravity theory introduces a Yukawa-correction to the gravitational potential. Such a correction depends on the two parameters, $\alpha$ which accounts for the modification of the gravitational constant, and ${\mu }^{\ast -1}$ which represents the scale length on which the scalar field propagates. These parameters were found to be universal when the modified gravitational potential was used to fit the galaxy rotation curves and the mass profiles of galaxy clusters, both without Dark Matter. We test the universality of these parameters using the the temperature anisotropies due to the thermal Sunyaev-Zeldovich effect. In our model the intra-cluster gas is in hydrostatic equilibrium within the modified gravitational potential well and it is described by a polytropic equation of state. We predict the thermal Sunyaev-Zeldovich temperature anisotropies produced by Coma cluster, and we compare them with those obtained using the Planck 2013 Nominal maps. In our analysis, we find $\alpha$ and the scale length, respectively, to be consistent and to depart from their universal values. Our analysis points out that the assumption of the universality of the Yukawa-correction to the gravitational potential is ruled out at more than $3.5\sigma$ at galaxy clusters scale, while demonstrating that such a theory of gravity is capable to fit the cluster profile if the scale dependence of the gravitational potential is restored.

8 pages, 3 figures, 2 Tables. Accepted for publication on Physical Letter B

References in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Catalog of Galaxy Clusters Observed by XMM-Newton
• The Bullet Cluster 1E0657-558 evidence shows Modified Gravity in the absence of Dark Matter
• Fundamental parameter-free solutions in Modified Gravity
• The XMM Cluster Survey: Testing chameleon gravity using the profiles of clusters
• Exploring the Energetics of Intracluster Gas with a Simple and Accurate Model
• A NuSTAR observation of the center of the Coma Cluster
• Adiabatic scaling relations of galaxy clusters
• A Modified Gravity and its Consequences for the Solar System, Astrophysics and Cosmology

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