Dilaton generation by electromagnetic field of rotating magnetic dipole momentum of neutron star in it's own gravitational field

According to dilaton-Maxwell theory, dilatons can be generated by electromagnetic fields with a nonzero electromagnetic field invariant $F_{mn}F^{mn}$, where $F_{mn}$ is the tensor of the electromagnetic field. The paper considers the generation of dilatons in the electromagnetic field of a rotating magnetic dipole moment of a neutron star, taking into account its own gravitational field. Solutions of dilaton field equations were obtained in the weak gravitational field approximation. Based on them, the intensity of dilaton generation was obtained in the approximation $r_g/R_S\ll 1$, where $r_g$ is the Schwarzschild radius and $R_S$ is the radius of the neutron star. It is shown that the intensity of dilaton generation from the rotating magnetic dipole moment of a neutron star is lower in the first order of magnitude than in the case of a flat space-time.