GRAVITATIONAL SCATTERING OF MASSIVE PARTICLES ON A BACKGROUND WITH AXIAL SYMMETRY

Using the S-matrix formalism and the Feynman diagram technique, the gr avitational scattering of the minimally and non-minimally coupled scal ar, spinor, vector, spin-vector, and spin-2 massive particles, in a ba ckground described by Kerr-Newman geometry is studied for any value of the scattering angle. We find that the differential cross sections of the scalar, spinor, and vector particles in the backward direction an d ultrarelativistic case are finite and consequently the backscattered particles must have the opposite helicity, whereas for the spin-vecto r and spin-2 particles in the same case, the differential cross sectio ns are clearly infinite. It has been shown, for the particular case wh en the angular momentum of the scatterer vanishes (i.e., for the Schwa rzschild geometry) and in the small-angle approximation and ultrarelat ivistic limit as well, the differential cross sections are all of the same type, i.e., in this special Limit case the gravitational particle scattering is spin independent.