∂t 2 ∂t + k 2U 2 cos2 Ωtη + Cη (43) 1) The document analyzes the electrodynamic self-gravitational stability of an accelerating streaming fluid cylinder surrounded by a tenuous medium. 2) Perturbation equations are derived from the basic hydrodynamic, Maxwell, and gravitational equations. Boundary conditions are applied to obtain dispersion relations. 3) The analysis results in a second-order integro-differential equation that describes the stability of perturbations to the fluid cylinder interface over time. This equation accounts for effects like the accelerating streaming flow and oscillating electric and gravitational