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We obtain a constraint on the parameters of a generalized cubic Galileongravity model exhibiting the Vainshtein mechanism by using multi-wavelengthobservations of the Coma Cluster. The generalized cubic Galileon model ischaracterized by three parameters of the turning scale associated with theVainshtein mechanism, and the amplitude of modifying a gravitational potentialand a lensing potential. X-ray and Sunyaev-Zeldovich (SZ) observations of theintra-cluster medium are sensitive to the gravitational potential, while theweak-lensing (WL) measurement is specified by the lensing potential. A jointfit of a complementary multi-wavelength dataset of X-ray, SZ and WLmeasurements enables us to simultaneously constrain these three parameters ofthe generalized cubic Galileon model for the first time. We also find adegeneracy between the cluster mass parameters and the gravitationalmodification parameters, which is influential in the limit of the weakscreening of the fifth force.

Testing a generalized cubic Galileon gravity model with the Coma Cluster