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In its weak field limit, Scalar-tensor-vector gravity theory introduces aYukawa-correction to the gravitational potential. Such a correction depends onthe two parameters, $\alpha$ which accounts for the modification of thegravitational constant, and $\mu^{*-1}$ which represents the scale length onwhich the scalar field propagates. These parameters were found to be universalwhen the modified gravitational potential was used to fit the galaxy rotationcurves and the mass profiles of galaxy clusters, both without Dark Matter. Wetest the universality of these parameters using the the temperatureanisotropies due to the thermal Sunyaev-Zeldovich effect. In our model theintra-cluster gas is in hydrostatic equilibrium within the modifiedgravitational potential well and it is described by a polytropic equation ofstate. We predict the thermal Sunyaev-Zeldovich temperature anisotropiesproduced by Coma cluster, and we compare them with those obtained using thePlanck 2013 Nominal maps. In our analysis, we find $\alpha$ and the scalelength, respectively, to be consistent and to depart from their universalvalues. Our analysis points out that the assumption of the universality of theYukawa-correction to the gravitational potential is ruled out at more than$3.5\sigma$ at galaxy clusters scale, while demonstrating that such a theory ofgravity is capable to fit the cluster profile if the scale dependence of thegravitational potential is restored.

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