This study focuses on the static neutron star perspective for two
types of cosmological inflationary attractor theories, namely the
induced inflationary attractors and the quadratic inflationary
attractors. The two cosmological models can be discriminated
cosmologically, since one of the two does not provide a viable
inflationary phenomenology, thus in this paper we investigate the
predictions of these theories for static neutron stars, mainly
focusing on the mass and radii of neutron stars. We aim to
demonstrate that although the models have different inflationary
phenomenology, the neutron star phenomenology predictions of the
two models are quite similar. We solve numerically the
Tolman-Oppenheimer-Volkoff equations in the Einstein frame using a
powerful double shooting numerical technique, and after deriving
the mass-radius graphs for three types of polytropic equations of
state, we derive the Jordan frame mass and radii. With regard the
equations of state we use polytropic equation of state with the
small density part being either the WFF1, the APR or the
intermediate stiffness equation of state SLy. The results of our
models will be confronted with quite stringent recently developed
constraints on the radius of neutron stars with specific mass. As
we show, the only equation of state which provides results
compatible with the constraints is the SLy, for both the quadratic
and induced inflation attractors. Thus nowadays, scalar-tensor
descriptions of neutron stars are quite scrutinized due to the
growing number of constraining observations, which eventually may
also constrain theories of inflation.