Theoretical study of diffusion process around a slowly rotating neutron star

Abstract

Relativistic diffusion process around a slowly rotating neutron star has been studied. In this article, we formulated the relativistic FokkerPlanck equation to describe the dynamic of particles undergoing diffusion around slowly rotating neutron star. This equation is derived both 116 Doni Andra et al. in the parametrization of phase space proper time and the coordinate time. The relativistic Fokker-Planck equation is expressed in the hyperbolic coordinate system since the observation that the velocity space in special relativity is a noncompact hyperbolic 3-dimensional Riemannian manifold embedded into the 4-dimensional velocity Minkowski space.