Timelike spherical magnetic SN flux flows with Heisenberg spherical ferromagnetic spin with some solutions

Abstract

In this paper, we first offer the approach of spherical magnetic Lorentz flux of spherical timelikeSN−magneticparticle by the spherical frame in S12 spherical space. Eventually, we obtain some optical conditions of spherical t-magnetic Lorentz flux by using directional spherical fields. Moreover, we determine spherical magnetic Lorentz flux for spherical vector fields. Also, we give new construction for spherical curvatures of spherical timelikeSN−magneticparticle flows by considering Heisenberg spherical ferromagnetic spin. Finally, magnetic flux surface is demonstrated in a static and uniform magnetic surface by using the analytical and numerical results.