The realistic models of neutron stars are considered for simple $R+\alpha R^2$ gravity and equivalent Brance-Dicke theory with dilaton field in Einsein frame. For negative values of $\alpha$ we have no acceptable results from astrophysical viewpoint: the resulting solution for spherical stars doesn't coincide with Schwarzschild solution on spatial infinity... (read more)

PDF Abstract- GENERAL RELATIVITY AND QUANTUM COSMOLOGY