Modeling gamma radiation from millisecond pulsars

We present spectral and directional properties of gamma radiation obtained by numerical modeling of two millisecond pulsars, PSR J0218+4232 and PSR J0437-4715. The general relativistic space charge limited flow model of Muslimov and Harding [Toward the quasi-steady state electrodynamics of a neutron star. Astrophys. J. 485, 735-746, 1997] in its version of an unscreened accelerating electric field was used. The results give both general ideas and constraints on the specific character of magnetospheric activity in each of these two pulsars.