General relativistic effects in the γ-ray radiation from pulsars

General relativistic and quantum-mechanical effects in the γ-ray radiation from neutron stars are studied in this paper. For three values of the magnetic dipole moment, we calculated the upper limit of the escaping energy of the γ-photon as a function of the angle between the line of sight and the magnetic axis, with and without these effects. We conclude that for low magnetic moments, the quantum-mechanical effects are unimportant but the general relativistic effects are to reduce significantly the upper limit. For high magnetic moments, the two effects nearly cancel out and the net effect is small. We discuss the implications of these results on the γ-ray spectrum.