Metric-affine gravity effects on terrestrial (exo-)planets profiles

Mass-radius relations of homogeneous cold spheres are obtained for six solid materials commonly found in terrestrial planets. An additional degeneracy in the (exo-)planets’ profiles is discussed together with their properties concluded from our findings in the framework of Palatini $f(\mathcal{R})$ gravity. Moreover, a new test of gravity has been proposed: The results presented here will allow to test and to constrain models of gravity by the use of seismic data acquired from earthquakes and marsquakes.