General Relativistic Magnetohydrodynamic Source Terms in 3+1 Form

The main purpose of this paper is to study the general relativistic magnetohydrodynamics source terms in 3+1 form. In this paper a set of equations, which are suitable for numerical interpretation in full 3+1 dimensions is determined. Section 2 is devoted to electromagnetic source terms in 3+1 form. In the section 3 we have delineated the general relativistic magnetohydrodynamics and obtained a condition that 3+1 source terms are in the same form as that in flat space. In the end we have established a theorem regarding general relativistic magnetohydrodynamics