Probing $f(R)$ gravity with PLANCK data on cluster pressure profiles

Understand

Analytical $f(R)$-gravity models introduce Yukawa-like corrections to the Newtonian potential in the weak field limit.

• These models can explain the dynamics of galaxies and cluster of galaxies without requiring dark matter.
• To test the model, we have computed the pressure profile of 579 X-ray galaxy clusters assuming the gas is in hydrostatic equilibrium within the potential well of the modified gravitational potential.
• We have compared those profiles with the ones measured in the foreground cleaned SMICA released by the Planck Collaboration.