A new type of gravitational interaction with parity violation and its role in gravidynamics and electrodynamics

Lagrangian densities for spinor particles and photons in gravitational field including terms with violated $C$- and $P$-parity that remove degeneracy of spin states are postulated. The modified Dirac and Maxwell equations are obtained. In semiclassical approximation Hamiltonians for particles (bodies) possessing quantum (classical in the case of bodies) momentum are constructed. It is shown that new interactions can produce the following effects: changing of the body weight because of the partial spin ordering of electrons and nucleons; the angular splitting and the relative retarding of the left- and right-polarized waves passing near the Sun; changing of the atomic spectra and the structure of their shells; generating high-capacity $X$-rays in the neighborhood of neutron stars, arising isotropically distributed cosmic rays of high energy in the early Universe.